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Wang Y, Hao ZY, Li JK, Liu ZH, Sun K, Xu JS, Li CF, Guo GC. Observation of Non-Markovian Evolution of Einstein-Podolsky-Rosen Steering. PHYSICAL REVIEW LETTERS 2023; 130:200202. [PMID: 37267573 DOI: 10.1103/physrevlett.130.200202] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/17/2022] [Revised: 03/09/2023] [Accepted: 04/24/2023] [Indexed: 06/04/2023]
Abstract
Einstein-Podolsky-Rosen (EPR) steering is a type of characteristic nonlocal correlation and provides an important resource in quantum information tasks, especially in view of its asymmetric property. Although plenty of works on EPR steering have been reported, the study of non-Markovian evolution of EPR steering, in which the interactions between the quantum system and surrounding environment are taken into consideration, still lacks intuitive experimental evidence. Here, we experimentally observe the non-Markovian evolution of EPR steering including its sudden death and revival processes, during which the degree of memory effect plays a key role in the recovery of steering. Additionally, a strict unsteerable feature is sufficiently verified during the non-Markovian evolution within multisetting measurements. This Letter, revealing the whole evolution of EPR steering under the non-Markovian process, provides incisive insight into the applications of EPR steering in quantum open systems.
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Affiliation(s)
- Yan Wang
- 1CAS Key Laboratory of Quantum Information, University of Science and Technology of China, Hefei 230026, China
- 2CAS Center for Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei 230026, China
| | - Ze-Yan Hao
- 1CAS Key Laboratory of Quantum Information, University of Science and Technology of China, Hefei 230026, China
- 2CAS Center for Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei 230026, China
| | - Jia-Kun Li
- 1CAS Key Laboratory of Quantum Information, University of Science and Technology of China, Hefei 230026, China
- 2CAS Center for Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei 230026, China
| | - Zheng-Hao Liu
- 1CAS Key Laboratory of Quantum Information, University of Science and Technology of China, Hefei 230026, China
- 2CAS Center for Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei 230026, China
| | - Kai Sun
- 1CAS Key Laboratory of Quantum Information, University of Science and Technology of China, Hefei 230026, China
- 2CAS Center for Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei 230026, China
| | - Jin-Shi Xu
- 1CAS Key Laboratory of Quantum Information, University of Science and Technology of China, Hefei 230026, China
- 2CAS Center for Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei 230026, China
- 3Hefei National Laboratory, University of Science and Technology of China, Hefei 230088, China
| | - Chuan-Feng Li
- 1CAS Key Laboratory of Quantum Information, University of Science and Technology of China, Hefei 230026, China
- 2CAS Center for Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei 230026, China
- 3Hefei National Laboratory, University of Science and Technology of China, Hefei 230088, China
| | - Guang-Can Guo
- 1CAS Key Laboratory of Quantum Information, University of Science and Technology of China, Hefei 230026, China
- 2CAS Center for Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei 230026, China
- 3Hefei National Laboratory, University of Science and Technology of China, Hefei 230088, China
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Ahnefeld F, Theurer T, Egloff D, Matera JM, Plenio MB. Coherence as a Resource for Shor's Algorithm. PHYSICAL REVIEW LETTERS 2022; 129:120501. [PMID: 36179183 DOI: 10.1103/physrevlett.129.120501] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/26/2022] [Revised: 07/10/2022] [Accepted: 08/01/2022] [Indexed: 06/16/2023]
Abstract
Shor's factoring algorithm provides a superpolynomial speedup over all known classical factoring algorithms. Here, we address the question of which quantum properties fuel this advantage. We investigate a sequential variant of Shor's algorithm with a fixed overall structure and identify the role of coherence for this algorithm quantitatively. We analyze this protocol in the framework of dynamical resource theories, which capture the resource character of operations that can create and detect coherence. This allows us to derive a lower and an upper bound on the success probability of the protocol, which depend on rigorously defined measures of coherence as a dynamical resource. We compare these bounds with the classical limit of the protocol and conclude that within the fixed structure that we consider, coherence is the quantum resource that determines its performance by bounding the success probability from below and above. Therefore, we shine new light on the fundamental role of coherence in quantum computation.
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Affiliation(s)
- Felix Ahnefeld
- Institute of Theoretical Physics, Universität Ulm, Albert-Einstein-Allee 11, D-89081 Ulm, Germany
| | - Thomas Theurer
- Department of Mathematics and Statistics, Institute for Quantum Science and Technology, University of Calgary, Alberta T2N 1N4, Canada
| | - Dario Egloff
- Institute of Theoretical Physics, Technical University Dresden, D-01062 Dresden, Germany
| | - Juan Mauricio Matera
- IFLP-CONICET, Departamento de Física, Facultad de Ciencias Exactas, Universidad Nacional de La Plata, C.C. 67, La Plata 1900, Argentina
| | - Martin B Plenio
- Institute of Theoretical Physics, Universität Ulm, Albert-Einstein-Allee 11, D-89081 Ulm, Germany
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He RD, Wu KD, Xiang GY, Li CF, Guo GC. Experimental quantification of dynamical coherence via entangling two qubits. OPTICS EXPRESS 2022; 30:10346-10353. [PMID: 35473004 DOI: 10.1364/oe.453504] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/11/2022] [Accepted: 02/23/2022] [Indexed: 06/14/2023]
Abstract
Coherence and entanglement are both the fundamental properties which quantify the degree of nonclassicality possessed in a quantum state. Recently coherence and entanglement are considered as a dynamical resource where the nonclassicality is strongly related to the amount of the static resources which can be generated in a quantum process. In [Phys. Rev. Lett.125, 130401 (2020)10.1103/PhysRevLett.125.130401], for the first time, the authors study the interconvertability of these two kinds of dynamical resources. Here, we demonstrate this resource conversion in an all optical setup, and successfully observe the dynamical resource conversion. The experimental observation prove the ability of manipulating dynamical resource within current quantum photonic technologies.
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Regula B, Takagi R. One-Shot Manipulation of Dynamical Quantum Resources. PHYSICAL REVIEW LETTERS 2021; 127:060402. [PMID: 34420334 DOI: 10.1103/physrevlett.127.060402] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/29/2021] [Accepted: 06/21/2021] [Indexed: 06/13/2023]
Abstract
We develop a unified framework to characterize one-shot transformations of dynamical quantum resources in terms of resource quantifiers, establishing universal conditions for exact and approximate transformations in general resource theories. Our framework encompasses all dynamical resources represented as quantum channels, including those with a specific structure-such as boxes, assemblages, and measurements-thus immediately applying in a vast range of physical settings. For the particularly important manipulation tasks of distillation and dilution, we show that our conditions become necessary and sufficient for broad classes of important theories, enabling an exact characterization of these tasks and establishing a precise connection between operational problems and resource monotones based on entropic divergences. We exemplify our results by considering explicit applications to quantum communication, where we obtain exact expressions for one-shot quantum capacity and simulation cost assisted by no-signaling, separability-preserving, and positive partial transpose-preserving codes; as well as to nonlocality, contextuality, and measurement incompatibility, where we present operational applications of a number of relevant resource measures.
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Affiliation(s)
- Bartosz Regula
- School of Physical and Mathematical Sciences, Nanyang Technological University, 637371, Singapore
| | - Ryuji Takagi
- School of Physical and Mathematical Sciences, Nanyang Technological University, 637371, Singapore
- Center for Theoretical Physics and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
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