{"title":"Quantum pricing with a smile: implementation of local volatility model on quantum computer","authors":"Kazuya Kaneko, Koichi Miyamoto, Naoyuki Takeda, Kazuyoshi Yoshino","doi":"10.1140/epjqt/s40507-022-00125-2","DOIUrl":"10.1140/epjqt/s40507-022-00125-2","url":null,"abstract":"<div><p>Quantum algorithms for the pricing of financial derivatives have been discussed in recent papers. However, the pricing model discussed in those papers is too simple for practical purposes. It motivates us to consider how to implement more complex models used in financial institutions. In this paper, we consider the local volatility (LV) model, in which the volatility of the underlying asset price depends on the price and time. As in previous studies, we use the quantum amplitude estimation (QAE) as the main source of quantum speedup and discuss the state preparation step of the QAE, or equivalently, the implementation of the asset price evolution. We compare two types of state preparation: One is the <i>amplitude encoding</i> (AE) type, where the probability distribution of the derivative’s payoff is encoded to the probabilistic amplitude. The other is the <i>pseudo-random number</i> (PRN) type, where sequences of PRNs are used to simulate the asset price evolution as in classical Monte Carlo simulation. We present detailed circuit diagrams for implementing these preparation methods in fault-tolerant quantum computation and roughly estimate required resources such as the number of qubits and T-count.</p></div>","PeriodicalId":547,"journal":{"name":"EPJ Quantum Technology","volume":"9 1","pages":""},"PeriodicalIF":5.3,"publicationDate":"2022-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://epjquantumtechnology.springeropen.com/counter/pdf/10.1140/epjqt/s40507-022-00125-2","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4488652","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Duc M. Tran, Duy V. Nguyen, Bin Ho Le, Hung Q. Nguyen
{"title":"Experimenting quantum phenomena on NISQ computers using high level quantum programming","authors":"Duc M. Tran, Duy V. Nguyen, Bin Ho Le, Hung Q. Nguyen","doi":"10.1140/epjqt/s40507-022-00126-1","DOIUrl":"10.1140/epjqt/s40507-022-00126-1","url":null,"abstract":"<div><p>We execute the quantum eraser, the Elitzur–Vaidman bomb, and the Hardy’s paradox experiment using high-level programming language on a generic, gate-based superconducting quantum processor made publicly available by IBM. The quantum circuits for these experiments use a mixture of one-qubit and multi-qubit gates and require high entanglement gate accuracy. The results aligned with theoretical predictions of quantum mechanics to high confidence on circuits using up to 3 qubits. The power of quantum computers and high-level language as a platform for experimenting and studying quantum phenomena is henceforth demonstrated.</p></div>","PeriodicalId":547,"journal":{"name":"EPJ Quantum Technology","volume":"9 1","pages":""},"PeriodicalIF":5.3,"publicationDate":"2022-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://epjquantumtechnology.springeropen.com/counter/pdf/10.1140/epjqt/s40507-022-00126-1","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4416177","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
David Amaro, Matthias Rosenkranz, Nathan Fitzpatrick, Koji Hirano, Mattia Fiorentini
{"title":"A case study of variational quantum algorithms for a job shop scheduling problem","authors":"David Amaro, Matthias Rosenkranz, Nathan Fitzpatrick, Koji Hirano, Mattia Fiorentini","doi":"10.1140/epjqt/s40507-022-00123-4","DOIUrl":"10.1140/epjqt/s40507-022-00123-4","url":null,"abstract":"<div><p>Combinatorial optimization models a vast range of industrial processes aiming at improving their efficiency. In general, solving this type of problem exactly is computationally intractable. Therefore, practitioners rely on heuristic solution approaches. Variational quantum algorithms are optimization heuristics that can be demonstrated with available quantum hardware. In this case study, we apply four variational quantum heuristics running on IBM’s superconducting quantum processors to the job shop scheduling problem. Our problem optimizes a steel manufacturing process. A comparison on 5 qubits shows that the recent filtering variational quantum eigensolver (F-VQE) converges faster and samples the global optimum more frequently than the quantum approximate optimization algorithm (QAOA), the standard variational quantum eigensolver (VQE), and variational quantum imaginary time evolution (VarQITE). Furthermore, F-VQE readily solves problem sizes of up to 23 qubits on hardware without error mitigation post processing.</p></div>","PeriodicalId":547,"journal":{"name":"EPJ Quantum Technology","volume":"9 1","pages":""},"PeriodicalIF":5.3,"publicationDate":"2022-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://epjquantumtechnology.springeropen.com/counter/pdf/10.1140/epjqt/s40507-022-00123-4","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4413605","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
RuiQing Xu, Ri-Gui Zhou, YaoChong Li, SheXiang Jiang, Hou Ian
{"title":"Enhancing robustness of noisy qutrit teleportation with Markovian memory","authors":"RuiQing Xu, Ri-Gui Zhou, YaoChong Li, SheXiang Jiang, Hou Ian","doi":"10.1140/epjqt/s40507-022-00122-5","DOIUrl":"10.1140/epjqt/s40507-022-00122-5","url":null,"abstract":"<div><p>Quantum teleportation is the fundamental communication unit in quantum communication. Here, a three-level system is selected for storing and transmitting quantum information, due to its unique advantages, such as lower cost than a higher-level system and higher capacity and security than a two-level system. It is known that the key procedure for perfect teleportation is the distribution of entanglement through quantum channel. However, amounts of noise existing in the quantum channel may interfere the entangled state, causing the degradation of quantum entanglement. In the physical implementations of quantum communication schemes, noise acting on the carriers of successive transmissions often exhibits some correlations, which is the so called quantum memory channel. In this paper, a memory channel model during the entanglement distribution phase is constructed and the uniform expression of the evolution of a two-qutrit entangled state under different kinds of correlated noise is derived. Finally, Pauli noise and amplitude damping noise as the typical noise source are considered to analyze the influence of memory effects of noise on qutrit teleportation. It is expected to show that three-level teleportation under these two types of channels can generally enhance the robustness to noise if the Markovian correlations of quantum channel are taken into consideration.</p></div>","PeriodicalId":547,"journal":{"name":"EPJ Quantum Technology","volume":"9 1","pages":""},"PeriodicalIF":5.3,"publicationDate":"2022-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://epjquantumtechnology.springeropen.com/counter/pdf/10.1140/epjqt/s40507-022-00122-5","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4417970","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Bermudan option pricing by quantum amplitude estimation and Chebyshev interpolation","authors":"Koichi Miyamoto","doi":"10.1140/epjqt/s40507-022-00124-3","DOIUrl":"10.1140/epjqt/s40507-022-00124-3","url":null,"abstract":"<div><p>Pricing of financial derivatives, in particular early exercisable options such as Bermudan options, is an important but heavy numerical task in financial institutions, and its speed-up will provide a large business impact. Recently, applications of quantum computing to financial problems have been started to be investigated. In this paper, we first propose a quantum algorithm for Bermudan option pricing. This method performs the approximation of the continuation value, which is a crucial part of Bermudan option pricing, by Chebyshev interpolation, using the values at interpolation nodes estimated by quantum amplitude estimation. In this method, the number of calls to the oracle to generate underlying asset price paths scales as <span>(widetilde{O}(epsilon ^{-1}))</span>, where <i>ϵ</i> is the error tolerance of the option price. This means the quadratic speed-up compared with classical Monte Carlo-based methods such as least-squares Monte Carlo, in which the oracle call number is <span>(widetilde{O}(epsilon ^{-2}))</span>.</p></div>","PeriodicalId":547,"journal":{"name":"EPJ Quantum Technology","volume":"9 1","pages":""},"PeriodicalIF":5.3,"publicationDate":"2022-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://epjquantumtechnology.springeropen.com/counter/pdf/10.1140/epjqt/s40507-022-00124-3","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4297488","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Elena Ferraro, Davide Rei, Matteo Paris, Marco De Michielis
{"title":"Universal set of quantum gates for the flip-flop qubit in the presence of 1/f noise","authors":"Elena Ferraro, Davide Rei, Matteo Paris, Marco De Michielis","doi":"10.1140/epjqt/s40507-022-00120-7","DOIUrl":"10.1140/epjqt/s40507-022-00120-7","url":null,"abstract":"<div><p>Impurities hosted in semiconducting solid matrices represent an extensively studied platform for quantum computing applications. In this scenario, the so-called flip-flop qubit emerges as a convenient choice for scalable implementations in silicon. Flip-flop qubits are realized implanting phosphorous donor in isotopically purified silicon, and encoding the logical states in the donor nuclear spin and in its bound electron. Electrically modulating the hyperfine interaction by applying a vertical electric field causes an Electron Dipole Spin Resonance (EDSR) transition between the states with antiparallel spins <span>({|downarrow Uparrow rangle ,|uparrow Downarrow rangle })</span>, that are chosen as the logical states. When two qubits are considered, the dipole-dipole interaction is exploited to establish long-range coupling between them. A universal set of quantum gates for flip-flop qubits is here proposed and the effect of a realistic 1/f noise on the gate fidelity is investigated for the single qubit <span>(R_{z}(-frac{pi }{2}))</span> and Hadamard gate and for the two-qubit <span>(sqrt{mathit{iSWAP}})</span> gate.</p></div>","PeriodicalId":547,"journal":{"name":"EPJ Quantum Technology","volume":"9 1","pages":""},"PeriodicalIF":5.3,"publicationDate":"2022-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://epjquantumtechnology.springeropen.com/counter/pdf/10.1140/epjqt/s40507-022-00120-7","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4719085","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Sergey Danilin, João Barbosa, Michael Farage, Zimo Zhao, Xiaobang Shang, Jonathan Burnett, Nick Ridler, Chong Li, Martin Weides
{"title":"Engineering the microwave to infrared noise photon flux for superconducting quantum systems","authors":"Sergey Danilin, João Barbosa, Michael Farage, Zimo Zhao, Xiaobang Shang, Jonathan Burnett, Nick Ridler, Chong Li, Martin Weides","doi":"10.1140/epjqt/s40507-022-00121-6","DOIUrl":"10.1140/epjqt/s40507-022-00121-6","url":null,"abstract":"<div><p>Electromagnetic filtering is essential for the coherent control, operation and readout of superconducting quantum circuits at milliKelvin temperatures. The suppression of spurious modes around transition frequencies of a few GHz is well understood and mainly achieved by on-chip and package considerations. Noise photons of higher frequencies – beyond the pair-breaking energies – cause decoherence and require spectral engineering before reaching the packaged quantum chip. The external wires that pass into the refrigerator and go down to the quantum circuit provide a direct path for these photons. This article contains quantitative analysis and experimental data for the noise photon flux through coaxial, filtered wiring. The attenuation of the coaxial cable at room temperature and the noise photon flux estimates for typical wiring configurations are provided. Compact cryogenic microwave low-pass filters with CR-110 and Esorb-230 absorptive dielectric fillings are presented along with experimental data at room and cryogenic temperatures up to 70 GHz. Filter cut-off frequencies between 1 to 10 GHz are set by the filter length, and the roll-off is material dependent. The relative dielectric permittivity and magnetic permeability for the Esorb-230 material in the pair-breaking frequency range of 75 to 110 GHz are measured, and the filter properties in this frequency range are calculated. The estimated dramatic suppression of the noise photon flux due to the filter proves its usefulness for experiments with superconducting quantum systems.</p></div>","PeriodicalId":547,"journal":{"name":"EPJ Quantum Technology","volume":"9 1","pages":""},"PeriodicalIF":5.3,"publicationDate":"2022-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://epjquantumtechnology.springeropen.com/counter/pdf/10.1140/epjqt/s40507-022-00121-6","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4612191","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Proof-of-principle demonstration of semi-quantum key distribution based on the Mirror protocol","authors":"Siyu Han, Yutao Huang, Shang Mi, Xiaojuan Qin, Jindong Wang, Yafei Yu, Zhengjun Wei, Zhiming Zhang","doi":"10.1140/epjqt/s40507-021-00117-8","DOIUrl":"10.1140/epjqt/s40507-021-00117-8","url":null,"abstract":"<div><p>Semi-quantum key distribution (SQKD) is used to establish a string of shared secret keys between a quantum party and a classical party. Here, we report the first proof-of-principle experimental demonstration of SQKD based on the Mirror protocol, which is the most experimentally feasible SQKD protocol, and equipped with time-phase encoding scheme employing the method of selective modulation. The experiment was performed at a repetition frequency of 62.5 MHz and a high raw key rate arrived at 69.8 kbps, and the average quantum bit error rate was found to be 4.56% and 2.78% for the “SWAP-x-Z” (<span>(mathrm{x}in {01,10})</span>) and the “CTRL-X”, respectively. The results demonstrate the feasibility of our system, and this study is helpful for future research on SQKD experiments.</p></div>","PeriodicalId":547,"journal":{"name":"EPJ Quantum Technology","volume":"8 1","pages":""},"PeriodicalIF":5.8,"publicationDate":"2021-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://epjquantumtechnology.springeropen.com/counter/pdf/10.1140/epjqt/s40507-021-00117-8","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64137328","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Awais Khan, Uman Khalid, Junaid ur Rehman, Kyesan Lee, Hyundong Shin
{"title":"Quantum anonymous collision detection for quantum networks","authors":"Awais Khan, Uman Khalid, Junaid ur Rehman, Kyesan Lee, Hyundong Shin","doi":"10.1140/epjqt/s40507-021-00116-9","DOIUrl":"10.1140/epjqt/s40507-021-00116-9","url":null,"abstract":"<div><p>Quantum mechanics offers new opportunities for diverse information processing tasks in communication and computational networks. In the last two decades, the notion of quantum anonymity has been introduced in several networking tasks that provide an unconditional secrecy of identity for the communicating parties. In this article, we propose a quantum anonymous collision detection (QACD) protocol which detects not only the collision but also guarantees the anonymity in the case of multiple senders. We show that the QACD protocol serves as an important primitive for a quantum anonymous network that features tracelessness and resource efficiency. Furthermore, the security analysis shows that this protocol is robust against the adversary and malicious participants.</p></div>","PeriodicalId":547,"journal":{"name":"EPJ Quantum Technology","volume":"8 1","pages":""},"PeriodicalIF":5.8,"publicationDate":"2021-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://epjquantumtechnology.springeropen.com/counter/pdf/10.1140/epjqt/s40507-021-00116-9","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41968088","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Hui-Cun Yu, Bang-Ying Tang, Huan Chen, Yang Xue, Jie Tang, Wan-Rong Yu, Bo Liu, Lei Shi
{"title":"Airborne quantum key distribution with boundary layer effects","authors":"Hui-Cun Yu, Bang-Ying Tang, Huan Chen, Yang Xue, Jie Tang, Wan-Rong Yu, Bo Liu, Lei Shi","doi":"10.1140/epjqt/s40507-021-00115-w","DOIUrl":"10.1140/epjqt/s40507-021-00115-w","url":null,"abstract":"<div><p>With the substantial progress of terrestrial fiber-based quantum networks and satellite-based quantum nodes, airborne quantum key distribution (QKD) is now becoming a flexible bond between terrestrial fiber and satellite, which is an efficient solution to establish a mobile, on-demand, and real-time coverage quantum network. However, the random distributed boundary layer is always surrounded to the surface of the aircraft when the flight speed larger than 0.3 Ma, which would introduce random wavefront aberration, jitter and extra intensity attenuation to the transmitted photons. In this article, we propose a performance evaluation scheme of airborne QKD with boundary layer effects. The analyzed results about the photon deflection angle and wavefront aberration effects, show that the aero-optical effects caused by the boundary layer can not be ignored, which would heavily decrease the final secure key rate. In our proposed airborne QKD scenario, the boundary layer would introduce ∼3.5 dB loss to the transmitted photons and decrease ∼70.9% of the secure key rate. With tolerated quantum bit error rate set to 8%, the suggested quantum communication azimuth angle between the aircraft and the ground station is within 55<sup>∘</sup>. Furthermore, the optimal beacon laser module and adaptive optics module are suggested to be employed, to improve the performance of airborne QKD system. Our detailed airborne QKD performance evaluation study can be performed to the future airborne quantum communication designs.</p></div>","PeriodicalId":547,"journal":{"name":"EPJ Quantum Technology","volume":"8 1","pages":""},"PeriodicalIF":5.8,"publicationDate":"2021-11-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://epjquantumtechnology.springeropen.com/counter/pdf/10.1140/epjqt/s40507-021-00115-w","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43804546","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}