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Rydberg Molecules Bound by Strong Light Fields 被强光场束缚的里德伯分子
PRX Quantum Pub Date : 2024-08-16 DOI: 10.1103/prxquantum.5.030335
Simon Hollerith, Valentin Walther, Kritsana Srakaew, David Wei, Daniel Adler, Suchita Agrawal, Pascal Weckesser, Immanuel Bloch, Johannes Zeiher
{"title":"Rydberg Molecules Bound by Strong Light Fields","authors":"Simon Hollerith, Valentin Walther, Kritsana Srakaew, David Wei, Daniel Adler, Suchita Agrawal, Pascal Weckesser, Immanuel Bloch, Johannes Zeiher","doi":"10.1103/prxquantum.5.030335","DOIUrl":"https://doi.org/10.1103/prxquantum.5.030335","url":null,"abstract":"The coupling of an isolated quantum state to a continuum is typically associated with decoherence and decreased lifetime. For coupling rates larger than the bandwidth of the associated continuum, decoherence can be mitigated, and new stable eigenstates emerge. Here, we laser-couple diatomic molecules of highly excited Rydberg atoms, so-called Rydberg macrodimers, to a continuum of free motional states. Enabled by their small vibrational eigenfrequencies, we achieve the regime of strong continuum couplings and observe the appearance of new resonances. We explain the observed spectroscopic features as molecular states emerging in the presence of the light field using a Fano model. For atoms arranged on a lattice, we predict the strong continuum coupling to even stabilize triatomic molecules and find the first signatures of these by observing three-atom loss correlations using quantum gas microscopy. Our results present a mechanism to control decoherence and bind polyatomic molecules using strong light-matter interactions.","PeriodicalId":501296,"journal":{"name":"PRX Quantum","volume":"76 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142176568","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Fully Scalable Randomized Benchmarking Without Motion Reversal 无运动反向的完全可扩展随机基准测试
PRX Quantum Pub Date : 2024-08-15 DOI: 10.1103/prxquantum.5.030334
Jordan Hines, Daniel Hothem, Robin Blume-Kohout, Birgitta Whaley, Timothy Proctor
{"title":"Fully Scalable Randomized Benchmarking Without Motion Reversal","authors":"Jordan Hines, Daniel Hothem, Robin Blume-Kohout, Birgitta Whaley, Timothy Proctor","doi":"10.1103/prxquantum.5.030334","DOIUrl":"https://doi.org/10.1103/prxquantum.5.030334","url":null,"abstract":"We introduce <i>binary randomized benchmarking (BiRB)</i>, a protocol that streamlines traditional RB by using circuits consisting almost entirely of independent identically distributed (IID) layers of gates. BiRB reliably and efficiently extracts the average error rate of a Clifford gate set by sending tensor-product eigenstates of random Pauli operators through random circuits with IID layers. Unlike existing RB methods, BiRB does not use motion reversal circuits—i.e., circuits that implement the identity (or a Pauli) operator—which simplifies both the method and the theory proving its reliability. Furthermore, this simplicity enables scaling BiRB to many more qubits than the most widely used RB methods.","PeriodicalId":501296,"journal":{"name":"PRX Quantum","volume":"19 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142176569","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Reducing Entanglement with Physically Inspired Fermion-To-Qubit Mappings 利用受物理启发的费米子-丘比特映射减少纠缠
PRX Quantum Pub Date : 2024-08-14 DOI: 10.1103/prxquantum.5.030333
Teodor Parella-Dilmé, Korbinian Kottmann, Leonardo Zambrano, Luke Mortimer, Jakob S. Kottmann, Antonio Acín
{"title":"Reducing Entanglement with Physically Inspired Fermion-To-Qubit Mappings","authors":"Teodor Parella-Dilmé, Korbinian Kottmann, Leonardo Zambrano, Luke Mortimer, Jakob S. Kottmann, Antonio Acín","doi":"10.1103/prxquantum.5.030333","DOIUrl":"https://doi.org/10.1103/prxquantum.5.030333","url":null,"abstract":"In <i>ab initio</i> electronic structure simulations, fermion-to-qubit mappings represent the initial encoding step from the problem of fermions into a problem of qubits. This work introduces a physically inspired method for constructing mappings that significantly simplify entanglement requirements when one is simulating states of interest. The presence of electronic excitations drives the construction of our mappings, reducing correlations for target states in the qubit space. To benchmark our method, we simulate ground-states of small molecules and observe an enhanced performance when compared with classical and quantum variational approaches from prior research using conventional mappings. In particular, on the quantum side, our mappings require a reduced number of entangling layers to achieve accuracy for <math display=\"inline\" overflow=\"scroll\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>LiH</mi></math>, <math display=\"inline\" overflow=\"scroll\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><msub><mrow><mi mathvariant=\"normal\">H</mi></mrow><mn>2</mn></msub></math>, <math display=\"inline\" overflow=\"scroll\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mo stretchy=\"false\">(</mo><msub><mrow><mi mathvariant=\"normal\">H</mi></mrow><mn>2</mn></msub><msub><mo stretchy=\"false\">)</mo><mn>2</mn></msub></math>, <math display=\"inline\" overflow=\"scroll\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><msubsup><mrow><mi mathvariant=\"normal\">H</mi></mrow><mn>4</mn><mo>≠</mo></msubsup></math> stretching, and benzene’s <math display=\"inline\" overflow=\"scroll\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>π</mi></math> system using the RY hardware-efficient ansatz. In addition, our mappings also provide an enhanced ground-state simulation performance in the density matrix renormalization group algorithm for the <math display=\"inline\" overflow=\"scroll\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><msub><mrow><mi mathvariant=\"normal\">N</mi></mrow><mn>2</mn></msub></math> molecule.","PeriodicalId":501296,"journal":{"name":"PRX Quantum","volume":"12 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142176571","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Dynamical Magic Transitions in Monitored Clifford+T Circuits 受监控克利福德+T 电路中的动态魔法转换
PRX Quantum Pub Date : 2024-08-13 DOI: 10.1103/prxquantum.5.030332
Mircea Bejan, Campbell McLauchlan, Benjamin Béri
{"title":"Dynamical Magic Transitions in Monitored Clifford+T Circuits","authors":"Mircea Bejan, Campbell McLauchlan, Benjamin Béri","doi":"10.1103/prxquantum.5.030332","DOIUrl":"https://doi.org/10.1103/prxquantum.5.030332","url":null,"abstract":"The classical simulation of highly entangling quantum dynamics is conjectured to be generically hard. Thus, recently discovered measurement-induced transitions between highly entangling and low-entanglement dynamics are phase transitions in classical simulability. Here, we study simulability transitions beyond entanglement: noting that some highly entangling dynamics (e.g., integrable systems or Clifford circuits) are easy to classically simulate, thus requiring “magic”—a subtle form of quantum resource—to achieve computational hardness, we ask how the dynamics of magic competes with measurements. We study the resulting “dynamical magic transitions” focusing on random monitored Clifford circuits doped by <math display=\"inline\" overflow=\"scroll\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>T</mi></math> gates (injecting magic). We identify dynamical “stabilizer purification”—the collapse of a superposition of stabilizer states by measurements—as the mechanism driving this transition. We find cases where transitions in magic and entanglement coincide, but also others with a magic and simulability transition in a highly (volume-law) entangled phase. In establishing our results, we use Pauli-based computation, a scheme distilling the quantum essence of the dynamics to a magic state register subject to mutually commuting measurements. We link stabilizer purification to “magic fragmentation” wherein these measurements separate into disjoint, <math display=\"inline\" overflow=\"scroll\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mi mathvariant=\"script\">O</mi></mrow><mo stretchy=\"false\">(</mo><mn>1</mn><mo stretchy=\"false\">)</mo></math>-weight blocks, and relate this to the spread of magic in the original circuit becoming arrested.","PeriodicalId":501296,"journal":{"name":"PRX Quantum","volume":"785 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142176570","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Hybrid Approach to Mitigate Errors in Linear Photonic Bell-State Measurement for Quantum Interconnects 减少量子互连线性光子钟态测量误差的混合方法
PRX Quantum Pub Date : 2024-08-12 DOI: 10.1103/prxquantum.5.030331
Beate E. Asenbeck, Akito Kawasaki, Ambroise Boyer, Tom Darras, Alban Urvoy, Akira Furusawa, Julien Laurat
{"title":"Hybrid Approach to Mitigate Errors in Linear Photonic Bell-State Measurement for Quantum Interconnects","authors":"Beate E. Asenbeck, Akito Kawasaki, Ambroise Boyer, Tom Darras, Alban Urvoy, Akira Furusawa, Julien Laurat","doi":"10.1103/prxquantum.5.030331","DOIUrl":"https://doi.org/10.1103/prxquantum.5.030331","url":null,"abstract":"Optical quantum information processing relies critically on Bell-state measurement, a ubiquitous operation for quantum communication and computing. Its practical realization involves the interference of optical modes and the detection of a single photon in an indistinguishable manner. Yet, in the absence of efficient photon-number-resolution capabilities, errors arise from multiphoton components, decreasing the overall process fidelity. Here, we introduce a hybrid detection scheme for Bell-state measurement, leveraging both on-off single-photon detection and quadrature conditioning via homodyne detection. We derive explicit fidelities for quantum teleportation and entanglement-swapping processes employing this strategy, demonstrating its efficacy. We also compare with photon-number-resolving detectors and find a strong advantage of the hybrid scheme in a wide range of parameters. This work provides a new tool for linear-optics schemes, with applications to quantum state engineering and quantum interconnects.","PeriodicalId":501296,"journal":{"name":"PRX Quantum","volume":"290 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141933016","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Automated Distribution of Polarization-Entangled Photons Using Deployed New York City Fibers 利用部署在纽约市的光纤自动分发偏振-纠缠光子
PRX Quantum Pub Date : 2024-08-09 DOI: 10.1103/prxquantum.5.030330
A. Craddock, Anne Lazenby, Gabriel Bello Portmann, Rourke Sekelsky, Mael Flament, M. Namazi
{"title":"Automated Distribution of Polarization-Entangled Photons Using Deployed New York City Fibers","authors":"A. Craddock, Anne Lazenby, Gabriel Bello Portmann, Rourke Sekelsky, Mael Flament, M. Namazi","doi":"10.1103/prxquantum.5.030330","DOIUrl":"https://doi.org/10.1103/prxquantum.5.030330","url":null,"abstract":"The distribution of high-fidelity high-rate entanglement over telecommunication infrastructure is one of the main paths toward large-scale quantum networks, enabling applications such as quantum encryption and network protection, blind quantum computing, distributed quantum computing, and distributed quantum sensing. However, the fragile nature of entangled photons operating in real-world fiber infrastructure has historically limited continuous operation of such networks. Here, we present a fully automated system capable of distributing polarization-entangled photons over a 34-km deployed fiber in New York City, achieving high rates of nearly 5×105 pairs/s. Separately, we demonstrate a high fidelity of approximately 99% for rates up to 2×104 pairs/s. Lastly, we achieve 15 days of continuous distribution, with a network up-time of 99.84%. Our work paves the way for practical deployment of always-on entanglement-based networks with rates and fidelity adequate for many current and future use cases.\u0000 \u0000 \u0000 \u0000 \u0000 Published by the American Physical Society\u0000 2024\u0000 \u0000 \u0000","PeriodicalId":501296,"journal":{"name":"PRX Quantum","volume":"48 44","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141923961","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Entanglement Dynamics in Monitored Systems and the Role of Quantum Jumps 监测系统中的纠缠动力学与量子跃迁的作用
PRX Quantum Pub Date : 2024-08-08 DOI: 10.1103/prxquantum.5.030329
Youenn Le Gal, Xhek Turkeshi, Marco Schirò
{"title":"Entanglement Dynamics in Monitored Systems and the Role of Quantum Jumps","authors":"Youenn Le Gal, Xhek Turkeshi, Marco Schirò","doi":"10.1103/prxquantum.5.030329","DOIUrl":"https://doi.org/10.1103/prxquantum.5.030329","url":null,"abstract":"Monitored quantum many-body systems display a rich pattern of entanglement dynamics, which is unique to this nonunitary setting. This work studies the effect of quantum jumps on the entanglement dynamics beyond the no-click limit corresponding to a deterministic non-Hermitian evolution. To this aim, we introduce a new tool that looks at the statistics of entanglement-entropy gain and loss after and in between quantum jumps. This insight allows us to build a simple stochastic model of a random walk with partial resetting, which reproduces the entanglement dynamics, and to dissect the mutual role of jumps and non-Hermitian evolution on the entanglement scaling. We apply these ideas to the study of measurement-induced transitions in monitored fermions. We demonstrate that significant deviations from the no-click limit arise whenever quantum jumps strongly renormalize the non-Hermitian dynamics, as in the case of models with <math display=\"inline\" overflow=\"scroll\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>U</mi><mo stretchy=\"false\">(</mo><mn>1</mn><mo stretchy=\"false\">)</mo></math> symmetry at weak monitoring. On the other hand, we show that the weak-monitoring phase of the Ising chain leads to a robust subvolume logarithmic phase due to weakly renormalized non-Hermitian dynamics.","PeriodicalId":501296,"journal":{"name":"PRX Quantum","volume":"15 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141933011","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Extracting Topological Orders of Generalized Pauli Stabilizer Codes in Two Dimensions 提取二维广义保利稳定器代码的拓扑阶数
PRX Quantum Pub Date : 2024-08-08 DOI: 10.1103/prxquantum.5.030328
Zijian Liang (梁子健), Yijia Xu (许逸葭), Joseph T. Iosue, Yu-An Chen (陳昱安)
{"title":"Extracting Topological Orders of Generalized Pauli Stabilizer Codes in Two Dimensions","authors":"Zijian Liang (梁子健), Yijia Xu (许逸葭), Joseph T. Iosue, Yu-An Chen (陳昱安)","doi":"10.1103/prxquantum.5.030328","DOIUrl":"https://doi.org/10.1103/prxquantum.5.030328","url":null,"abstract":"In this paper, we introduce an algorithm for extracting topological data from translation invariant generalized Pauli stabilizer codes in two-dimensional systems, focusing on the analysis of anyon excitations and string operators. The algorithm applies to <math display=\"inline\" overflow=\"scroll\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><msub><mrow><mi mathvariant=\"double-struck\">Z</mi></mrow><mi>d</mi></msub></math> qudits, including instances where <math display=\"inline\" overflow=\"scroll\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>d</mi></math> is a nonprime number. This capability allows the identification of topological orders that differ from the <math display=\"inline\" overflow=\"scroll\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><msub><mrow><mi mathvariant=\"double-struck\">Z</mi></mrow><mi>d</mi></msub></math> toric codes. It extends our understanding beyond the established theorem that Pauli stabilizer codes for <math display=\"inline\" overflow=\"scroll\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><msub><mrow><mi mathvariant=\"double-struck\">Z</mi></mrow><mi>p</mi></msub></math> qudits (with <math display=\"inline\" overflow=\"scroll\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>p</mi></math> being a prime) are equivalent to finite copies of <math display=\"inline\" overflow=\"scroll\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><msub><mrow><mi mathvariant=\"double-struck\">Z</mi></mrow><mi>p</mi></msub></math> toric codes and trivial stabilizers. The algorithm is designed to determine all anyons and their string operators, enabling the computation of their fusion rules, topological spins, and braiding statistics. The method converts the identification of topological orders into computational tasks, including Gaussian elimination, the Hermite normal form, and the Smith normal form of truncated Laurent polynomials. Furthermore, the algorithm provides a systematic approach for studying quantum error-correcting codes. We apply it to various codes, such as self-dual CSS quantum codes modified from the two-dimensional honeycomb color code and non-CSS quantum codes that contain the double semion topological order or the six-semion topological order.","PeriodicalId":501296,"journal":{"name":"PRX Quantum","volume":"8 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141933012","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Demonstration of Fault-Tolerant Steane Quantum Error Correction 容错 Steane 量子纠错演示
PRX Quantum Pub Date : 2024-08-07 DOI: 10.1103/prxquantum.5.030326
Lukas Postler, Friederike Butt, Ivan Pogorelov, Christian D. Marciniak, Sascha Heußen, Rainer Blatt, Philipp Schindler, Manuel Rispler, Markus Müller, Thomas Monz
{"title":"Demonstration of Fault-Tolerant Steane Quantum Error Correction","authors":"Lukas Postler, Friederike Butt, Ivan Pogorelov, Christian D. Marciniak, Sascha Heußen, Rainer Blatt, Philipp Schindler, Manuel Rispler, Markus Müller, Thomas Monz","doi":"10.1103/prxquantum.5.030326","DOIUrl":"https://doi.org/10.1103/prxquantum.5.030326","url":null,"abstract":"Encoding information redundantly using quantum error-correcting (QEC) codes allows one to overcome the inherent sensitivity to noise in quantum computers to ultimately achieve large-scale quantum computation. The Steane QEC method involves preparing an auxiliary logical qubit of the same QEC code as used for the data register. The data and auxiliary registers are then coupled with a logical controlled-<span>not</span> (<span>cnot</span>) gate, enabling a measurement of the auxiliary register to reveal the error syndrome. This study presents the implementation of multiple rounds of fault-tolerant (FT) Steane QEC on a trapped-ion quantum computer. Various QEC codes are employed and the results are compared to a previous experimental approach utilizing flag qubits. Our experimental findings show improved logical fidelities for Steane QEC and accompanying numerical simulations indicate an even larger performance advantage for quantum processors limited by entangling-gate errors. This establishes experimental Steane QEC as a competitive paradigm for FT quantum computing.","PeriodicalId":501296,"journal":{"name":"PRX Quantum","volume":"12 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141933014","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Quantum Coding Transitions in the Presence of Boundary Dissipation 存在边界耗散的量子编码转换
PRX Quantum Pub Date : 2024-08-07 DOI: 10.1103/prxquantum.5.030327
Izabella Lovas, Utkarsh Agrawal, Sagar Vijay
{"title":"Quantum Coding Transitions in the Presence of Boundary Dissipation","authors":"Izabella Lovas, Utkarsh Agrawal, Sagar Vijay","doi":"10.1103/prxquantum.5.030327","DOIUrl":"https://doi.org/10.1103/prxquantum.5.030327","url":null,"abstract":"We investigate phase transitions in the encoding of quantum information in a quantum many-body system due to the competing effects of unitary scrambling and boundary dissipation. Specifically, we study the fate of quantum information in a one-dimensional qudit chain, subject to local unitary quantum circuit evolution in the presence of depolarizing noise at the boundary. If the qudit chain initially contains a finite amount of locally accessible quantum information, unitary evolution in the presence of boundary dissipation allows this information to remain partially protected when the dissipation is sufficiently weak, and up to timescales growing linearly in the system size <math display=\"inline\" overflow=\"scroll\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>L</mi></math>. In contrast, for strong enough dissipation, this information is completely lost to the dissipative environment. We analytically investigate this “quantum coding transition” by considering dynamics involving Haar-random, local unitary gates, and confirm our predictions in numerical simulations of Clifford quantum circuits. Scrambling the quantum information in the qudit chain with a unitary circuit of depth <math display=\"inline\" overflow=\"scroll\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mi mathvariant=\"script\">O</mi></mrow><mo stretchy=\"false\">(</mo><mi>log</mi><mo></mo><mi>L</mi><mo stretchy=\"false\">)</mo></math> before the onset of dissipation can perfectly protect the information until late times. The nature of the coding transition changes when the dynamics extend for times much longer than <math display=\"inline\" overflow=\"scroll\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>L</mi></math>. We further show that at weak dissipation, it is possible to code at a finite rate, i.e., a fraction of the many-body Hilbert space of the qudit chain can be used to encode quantum information.","PeriodicalId":501296,"journal":{"name":"PRX Quantum","volume":"47 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141933013","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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