Physical Review APub Date : 2024-08-12DOI: 10.1103/physreva.110.022214
Christian Carisch, Oded Zilberberg, Alessandro Romito
{"title":"Effect of the readout efficiency of quantum measurement on the system entanglement","authors":"Christian Carisch, Oded Zilberberg, Alessandro Romito","doi":"10.1103/physreva.110.022214","DOIUrl":"https://doi.org/10.1103/physreva.110.022214","url":null,"abstract":"Monitored quantum systems evolve along stochastic trajectories correlated with the observer's knowledge of the system's state. Under such dynamics, certain quantum resources like entanglement may depend on the observer's state of knowledge. Here, we quantify the entanglement for a particle on a one-dimensional (1D) quantum random walk under inefficient monitoring using a mixed state-entanglement measure: the configuration coherence. We find that the system's maximal mean entanglement at the measurement-induced quantum-to-classical crossover is suppressed in different ways by the measurement strength and inefficiency. In principle, strong measurements can lower the amount of entanglement indefinitely. However, at a given measurement strength, efficient readout can crucially increase the system entanglement, making high-fidelity detectors essential for successful quantum computing. Our results bear impact for a broad range of fields, ranging from quantum simulation platforms of random walks to questions related to measurement-induced phase transitions.","PeriodicalId":20146,"journal":{"name":"Physical Review A","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2024-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141943405","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Physical Review APub Date : 2024-08-12DOI: 10.1103/physreva.110.022609
Ye-Min Zhan, Guan-Dong Mao, Yu-Ge Chen, Yue Yu, Xi Luo
{"title":"Dissipationless topological quantum computation for Majorana objects in the sparse-dense mixed encoding process","authors":"Ye-Min Zhan, Guan-Dong Mao, Yu-Ge Chen, Yue Yu, Xi Luo","doi":"10.1103/physreva.110.022609","DOIUrl":"https://doi.org/10.1103/physreva.110.022609","url":null,"abstract":"Topological quantum computation based on Majorana objects is subject to a significant challenge because at least some of the two-qubit quantum gates rely on the fermion (either charge or spin) parity of the qubits. This dependency renders the quantum operations involving these gates probabilistic when attempting to advance quantum processes within the quantum circuit model. Such an approach leads to significant information loss whenever measurements yield the undesired fermion parity. To resolve the problem of wasting information, we devise topological operations that allow for the nondissipative correction of information from undesired fermion parity to the desired one. We will use the sparse-dense mixed encoding process for the controlled-NOT gate as an example to explain how corrections can be implemented without affecting the quantum information carried by the computational qubits. This correction process can be applied to either the undesired input qubits or the fermion parity-dependent quantum gates, and it works for both Majorana-zero-mode-based and Majorana-edge-mode-based topological quantum computation.","PeriodicalId":20146,"journal":{"name":"Physical Review A","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2024-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141943306","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Physical Review APub Date : 2024-08-12DOI: 10.1103/physreva.110.022610
Manuel Odelli, Andreas Ruschhaupt, Vladimir M. Stojanović
{"title":"Twist-and-turn dynamics of spin squeezing in bosonic Josephson junctions: Enhanced shortcuts-to-adiabaticity approach","authors":"Manuel Odelli, Andreas Ruschhaupt, Vladimir M. Stojanović","doi":"10.1103/physreva.110.022610","DOIUrl":"https://doi.org/10.1103/physreva.110.022610","url":null,"abstract":"The twist-and-turn dynamics of spin squeezing results from the interplay of the one-axis-twisting (nonlinear in the collective-spin operators) and the transverse-field turning (linear) term in the underlying Lipkin-Meshkov-Glick-type Hamiltonian, both with constant (time-independent) prefactors. Using shortcuts to adiabaticity (STA) and the recently developed enhanced version thereof (eSTA), we demonstrate here that dynamics of this type can be utilized for a fast and robust preparation of spin-squeezed states in internal bosonic Josephson junctions, i.e., condensates of cold bosonic atoms in two different internal (hyperfine) states (single-boson modes) coupled through Rabi rotations. Assuming that the initial state of this system is its ground state for a given initial value of the (time-dependent) linear coupling strength and that the nonlinear coupling strength remains constant, we set out to determine the time dependence of the linear (Rabi) coupling strength that allows for the generation of spin-squeezed states using the STA- and eSTA-based approaches. We then characterize the modified twist-and-turn dynamics of this system by evaluating the coherent spin-squeezing and number-squeezing parameters, as well as the fidelity of the target spin-squeezed states. In this way, we show that the eSTA approach allows for a particularly robust realization of strongly spin-squeezed states in this system, consistently outperforming its adiabatic and STA-based counterparts, even for systems with several hundred particles. Our method could also be employed for the generation of metrologically-useful non-Gaussian states.","PeriodicalId":20146,"journal":{"name":"Physical Review A","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2024-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141943305","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Physical Review APub Date : 2024-08-12DOI: 10.1103/physreva.110.023511
Dmitry A. Bykov, Evgeni A. Bezus, Leonid L. Doskolovich
{"title":"Spatiotemporal coupled-mode theory for Fabry-Pérot resonators and its application to linear variable filters","authors":"Dmitry A. Bykov, Evgeni A. Bezus, Leonid L. Doskolovich","doi":"10.1103/physreva.110.023511","DOIUrl":"https://doi.org/10.1103/physreva.110.023511","url":null,"abstract":"Coupled-mode theory (CMT) is a widely used approach for describing resonances and eigenmodes in various photonic structures. Here, we propose a formulation of the CMT describing resonant multilayer structures. In particular, we revisit the conventional Fabry-Pérot resonator and describe its optical properties from the point of view of the spatiotemporal formulation of the CMT. This formulation provides partial differential equations describing both temporal and spatial evolution of the field distribution, thus generalizing the conventional temporal and spatial versions of the CMT. The developed CMT takes into account the symmetry of the considered structure, energy conservation law, reciprocity, and causality. By considering the parameters of the developed CMT to be spatially dependent, we apply it to describe the optical properties of linear variable filters (LVFs) comprising two Bragg mirrors separated by a wedge-shaped (tapered) layer. In good agreement with the results of the rigorous numerical solution of Maxwell's equations, the proposed CMT accurately reproduces the broadening of the resonant peak and the appearance of Fizeau fringes when increasing the wedge angle of the LVF.","PeriodicalId":20146,"journal":{"name":"Physical Review A","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2024-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141943308","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Physical Review APub Date : 2024-08-12DOI: 10.1103/physreva.110.022417
Carter Ball, Thomas D. Cohen
{"title":"Zeno effect suppression of gauge drift in quantum simulations","authors":"Carter Ball, Thomas D. Cohen","doi":"10.1103/physreva.110.022417","DOIUrl":"https://doi.org/10.1103/physreva.110.022417","url":null,"abstract":"Quantum simulation of lattice gauge theories is a promising tool for the study of many complicated problems including ones with real-time dynamics. For gauge theories, however, there is a major challenge in maintaining gauge invariance during time evolution. Such theories have a full Hilbert space that is larger than the physical space—the set of states which are gauge invariant or equivalently respect the Gauss law. While an exact implementation of Hamiltonian dynamics starting in the physical Hilbert space will keep the system in the physical space, various types of errors will inevitably produce components outside of it. This work proposes a method of suppressing this gauge drift via the Zeno effect. As in the standard picture of the Zeno effect, our method relies on frequent projection onto the physical subspace. Additionally, a technique is discussed to reduce the speed of the gauge drift, which helps to reduce the required frequency of projections. We demonstrate our method on a <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><msub><mi mathvariant=\"double-struck\">Z</mi><mn>2</mn></msub></math> gauge theory toy model.","PeriodicalId":20146,"journal":{"name":"Physical Review A","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2024-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141943304","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Physical Review APub Date : 2024-08-12DOI: 10.1103/physreva.110.022213
Amit Kumar Chatterjee, Satoshi Takada, Hisao Hayakawa
{"title":"Multiple quantum Mpemba effect: Exceptional points and oscillations","authors":"Amit Kumar Chatterjee, Satoshi Takada, Hisao Hayakawa","doi":"10.1103/physreva.110.022213","DOIUrl":"https://doi.org/10.1103/physreva.110.022213","url":null,"abstract":"We explore the role of exceptional points and complex eigenvalues on the occurrence of the quantum Mpemba effect. To this end, we study a two-level driven dissipative system subjected to an oscillatory electric field and dissipative coupling with the environment. We find that both exceptional points and complex eigenvalues can lead to <i>multiple</i> quantum Mpemba effect. It occurs in an observable when time-evolved copies corresponding to two different initial conditions, one initially having higher observable value compared to the other and both relaxing towards the same steady state, intersect each other more than once during their relaxation process. Each of the intersections denotes a quantum Mpemba effect and marks the reversal of identities between the two copies, i.e., the copy with higher observable value before the intersection becomes the lower-valued copy (and vice versa) after the intersection. Such multiple intersections originate from additional algebraic time dependence at the exceptional points and due to oscillatory relaxation in the case of complex eigenvalues. We provide analytical results for quantum Mpemba effect in the density matrix in presence of coherence. Depending on the control parameters (drive and dissipation), observables such as energy, von Neumann entropy, temperature, etc., exhibit either single or multiple quantum Mpemba effect. However, the distance from steady state measured in terms of the Kullback-Leibler divergence shows only single quantum Mpemba effect although the corresponding speed gives rise to either single or multiple quantum Mpemba effect.","PeriodicalId":20146,"journal":{"name":"Physical Review A","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2024-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141943403","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Process of dissociation of NH3 by electron impact in low-temperature plasma and its isotope effect","authors":"Xianwu Jiang, Yingqi Chen, Hainan Liu, Chi-Hong Yuen, Viatcheslav Kokoouline","doi":"10.1103/physreva.110.l020803","DOIUrl":"https://doi.org/10.1103/physreva.110.l020803","url":null,"abstract":"Understanding the dissociative electron attachment (DEA) in low-temperature ammonia plasma is crucial for many technological applications, in particular, for alternative energy sources. However, theoretical modeling of this process has been challenging due to the complex interplay of electronic motion and multidimensional nuclear dynamics. This Letter presents a theoretical approach to investigate the process, applying it to the breakup of the <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><msub><mi>NH</mi><mn>3</mn></msub></math> molecule by low-energy electrons. The potential energy surface of the <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><msub><mi>NH</mi><mn>3</mn></msub><msup><mrow></mrow><mo>−</mo></msup></mrow></math> 5.5 eV resonant state is computed to elucidate the mechanism of the dissociative process. The cross section of DEA via the 5.5 eV resonance is then calculated for both <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><msub><mi>NH</mi><mn>3</mn></msub></math> and <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><msub><mi>ND</mi><mn>3</mn></msub></math>. The positions of the peaks in both cross sections and the ratio between them are in excellent agreement with previous experiments. Our findings suggest that the developed theoretical model accurately describes the DEA process and could serve as a useful tool for providing DEA cross sections for other molecules to model low-temperature plasma.","PeriodicalId":20146,"journal":{"name":"Physical Review A","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2024-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141943310","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Physical Review APub Date : 2024-08-12DOI: 10.1103/physreva.110.022216
Arseni Goussev, Felix Quinque, Jaewoo Joo, Andrew Burbanks
{"title":"Quantum backflow current in a ring: Optimal bounds and fractality","authors":"Arseni Goussev, Felix Quinque, Jaewoo Joo, Andrew Burbanks","doi":"10.1103/physreva.110.022216","DOIUrl":"https://doi.org/10.1103/physreva.110.022216","url":null,"abstract":"The probability density of a quantum particle moving freely within a circular ring can exhibit local flow patterns inconsistent with its angular momentum, a phenomenon known as quantum backflow. In this study, we examine a quantum particle confined to a ring and prepared in a state composed of a fixed (yet arbitrary) number of lowest-energy eigenstates with nonnegative angular momentum. We investigate the time-dependent behavior of the probability current at a specified point along the ring's circumference. We establish precise lower and upper bounds for this probability current, thereby delineating the exact scope of the quantum backflow effect. We also present an analytical expression for a quantum state that yields a record-high backflow probability transfer, reaching over <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mn>95</mn><mo>%</mo></mrow></math> of the theoretical bound. Furthermore, our investigation yields compelling numerical and analytical evidence supporting the conjecture that the current-versus-time function associated with states maximizing backflow probability transfer forms a fractal curve with a dimension of <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mn>7</mn><mo>/</mo><mn>4</mn></mrow></math>. The observed fractality may provide a characteristic, experimentally relevant signature of quantum backflow near the probability-transfer bound.","PeriodicalId":20146,"journal":{"name":"Physical Review A","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2024-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141943404","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Physical Review APub Date : 2024-08-12DOI: 10.1103/physreva.110.022215
Junan Lin, Nayeli A. Rodríguez-Briones, Eduardo Martín-Martínez, Raymond Laflamme
{"title":"Thermodynamic analysis of algorithmic cooling protocols: Efficiency metrics and improved designs","authors":"Junan Lin, Nayeli A. Rodríguez-Briones, Eduardo Martín-Martínez, Raymond Laflamme","doi":"10.1103/physreva.110.022215","DOIUrl":"https://doi.org/10.1103/physreva.110.022215","url":null,"abstract":"Algorithmic cooling (AC) protocols have been predominantly studied for their cooling capabilities, with limited attention paid to their thermodynamic properties. This work explores an alternative perspective by analyzing a broad family of AC protocols from a thermodynamic standpoint. First, we give an in-depth review and formal classification of standard AC protocols. Leveraging the transfer matrix formalism, we achieve a consistent calculation of performance metrics, encompassing both cooling limits and target state evolution. We obtained a unification of these diverse cooling limits into a single, coherent mathematical expression, streamlining comparative analyses. Then, to assess the efficiency of coherent cooling protocols, we introduce two generic metrics: the coefficient of performance <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>K</mi></math> and Landauer's Ratio <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><msub><mi>R</mi><mi>L</mi></msub></math>, and establish a direct interrelation. Applying these metrics, we thoroughly evaluate selected AC protocols, highlighting their relative strengths. Finally, we propose improved versions of AC protocols that exhibit enhanced thermodynamic performance, achieving desired target temperatures with lower work inputs. This research contributes to a deeper understanding of AC protocols and provides valuable insights for designing efficient cooling strategies in various applications.","PeriodicalId":20146,"journal":{"name":"Physical Review A","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2024-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141943407","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Physical Review APub Date : 2024-08-12DOI: 10.1103/physreva.110.022416
D. Woźniak, B. J. Spisak, M. Kalka, M. Wołoszyn, M. Wleklińska, P. Pigoń, D. Kołaczek
{"title":"Interaction time of Schrödinger cat states with a periodically driven quantum system: Symplectic covariance approach","authors":"D. Woźniak, B. J. Spisak, M. Kalka, M. Wołoszyn, M. Wleklińska, P. Pigoń, D. Kołaczek","doi":"10.1103/physreva.110.022416","DOIUrl":"https://doi.org/10.1103/physreva.110.022416","url":null,"abstract":"The symplectic invariance property of the Wigner-Rényi entropies family is used to estimate the interaction time for the propagating Schrödinger cat state that interacts with the periodically changing potential. With the help of this property, the hierarchy of the interaction times is specified for the quantum dynamics of the periodically driven system. It is also demonstrated that the lower and upper bounds of the interaction time are determined by the Wigner-Rényi entropies corresponding to increasing Rényi index values, respectively. The interpretation of the presented results is supported by calculations of the dynamical transmission and capture coefficients, which give a clear insight into the scattering of the non-Gaussian state on the periodically changing potential, which switches between the Gaussian potential barrier and the well.","PeriodicalId":20146,"journal":{"name":"Physical Review A","volume":null,"pages":null},"PeriodicalIF":2.9,"publicationDate":"2024-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141943409","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}