Article
Quantum Science & Technology
Beata Zjawin, David Schmid, Matty J. Hoban, Ana Belen Sainz
Summary: Einstein-Podolsky-Rosen (EPR) steering can be explained by Alice updating her knowledge of Bob's system through measurements on a correlated system, rather than having a causal influence on Bob's system. We propose a resource-theoretic treatment of correlations in EPR scenarios, where local operations and shared randomness (LOSR) are considered as free operations. We show that resource conversion under free operations can be solved using a single instance of a semidefinite program, and we find interesting properties in the pre-order structure of resources.
Article
Quantum Science & Technology
Benjamin Lovitz, Nathaniel Johnston
Summary: This paper extends the theory of discriminating quantum states in the context of local measurements and shared entangled resources. The maximum distinguishability is found to be determined by the properties of the resource state. Moreover, the paper explores the topic of entangled subspaces and presents novel constructions.
Article
Multidisciplinary Sciences
Roy J. Garcia, Kaifeng Bu, Arthur Jaffe
Summary: Quantum chaos, characterized by the spread of local quantum information called scrambling, has found various applications in physics. This work introduces a mathematical definition of scrambling and a resource theory to measure it, along with two applications. Firstly, the resource theory is used to establish a bound on magic, a potential source of quantum computational advantage that can be efficiently measured in experiments. Secondly, it is shown that scrambling resources limit the success of Yoshida's black hole decoding protocol.
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
(2023)
Article
Physics, Multidisciplinary
Benjamin Yadin, Hyejung H. Jee, Carlo Sparaciari, Gerardo Adesso, Alessio Serafini
Summary: In this study, the problem of state transformations in the presence of catalysts is examined within the framework of Gaussian thermal resource theory. The results show that strong catalysts are ineffective for the single mode case, while weak catalysts can achieve more final system states. Necessary conditions for Gaussian thermal state transformations are derived for different numbers of modes, including strong catalysts, approximate transformations, and weak catalysts with and without a thermal bath.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2022)
Article
Physics, Multidisciplinary
Deng-Hui Yu, Chang-Shui Yu
Summary: We establish entanglement monotones in terms of an operational approach, showing that any good entanglement quantifier defined on pure states can induce an entanglement monotone for all density matrices, with our proposed monotone being the maximum among those with the same form in pure states. In certain special cases, our proposed entanglement monotones are equivalent to the convex roof construction, giving them an operational meaning.
Article
Quantum Science & Technology
Jieyu Zhang, Yu Luo, Yongming Li
Summary: The resource theory of imaginarity provides a valuable framework for understanding the role of complex numbers. This article introduces the concepts of imaginaring and deimaginaring power of quantum channels to describe their ability to create and destroy imaginarity. The properties of non-imaginarity-generating channels are investigated, and the trade-off relationship between imaginarity and entanglement is explored. The creation of imaginarity in a bipartite state is also studied.
QUANTUM INFORMATION PROCESSING
(2023)
Article
Quantum Science & Technology
Fei Ming, Dong Wang, Li-Juan Li, Xiao-Gang Fan, Xue-Ke Song, Liu Ye, Jing-Ling Chen
Summary: This study examines the tradeoff relations between intrinsic concurrence and first-order coherence in arbitrary three-qubit states, providing a physical explanation for the migration of coherence in three-qubit systems. The derived tradeoff relations reveal the complementarity between intrinsic concurrence and first-order coherence, offering a reliable theoretical basis for the transformation and flow of quantum resources.
ADVANCED QUANTUM TECHNOLOGIES
(2021)
Article
Physics, Multidisciplinary
Oliver DeWolfe, Kenneth Higginbotham
Summary: We investigate the transformation of entanglement entropy under dualities, using the Kramers-Wannier duality present in the transverse field Ising model as our example. We show that entanglement of local degrees of freedom is not lost; instead it is transferred to non-local degrees of freedom by the duality transformation.
Article
Physics, Multidisciplinary
Yu Luo, Mingfei Ye, Yongming Li
Summary: This paper investigates the coherence weight of quantum channels and its application in the quantum resource theory of dynamical coherence. By introducing an entanglement-assisted super-subchannel exclusion task, the advantage of coherent channels in such a task is demonstrated.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2022)
Article
Quantum Science & Technology
Si-ren Yang, Chang-shui Yu
Summary: In this paper, we investigate how to quantify dynamical quantum resources in the resource non-increasing framework, presenting two methods: distance measures and maximal increasing static resource. Using the quantification of dynamical total coherence as a demonstration, the distance-based measures are shown to have good operational interpretation and can be numerically calculated through semidefinite programming, while measures based on the maximal increasing static resource lead to analytical solutions.
QUANTUM INFORMATION PROCESSING
(2022)
Article
Physics, Multidisciplinary
Tulja Varun Kondra, Chandan Datta, Alexander Streltsov
Summary: “The resource theory of imaginarity provides a useful framework for understanding the role of complex numbers in mathematical rigor, particularly in quantum mechanics. This article explores the properties of 'real' (quantum) operations in both single-party and bipartite scenarios. It also discusses the necessary and sufficient conditions for state transformations under real operations and introduces the concept of 'real entanglement' monotones. Furthermore, the article focuses on single copy state transformation through real quantum operations, providing analytical expressions for optimal fidelity and presenting a semidefinite program for computing optimal achievable fidelity in various scenarios.”
NEW JOURNAL OF PHYSICS
(2023)
Article
Computer Science, Information Systems
Ho-Joon Kim, Soojoon Lee, Ludovico Lami, Martin B. Plenio
Summary: In this study, the dynamic resource theory of quantum entanglement was formulated using the superchannel theory, with separable channels and free superchannels identified as free resources, and swap channels chosen as dynamic entanglement golden units. The main results showed that the one-shot dynamic entanglement cost and distillable dynamic entanglement of a bipartite quantum channel under free superchannels are bounded by specific criteria involving channel robustness and resource monotones. Furthermore, the one-shot catalytic dynamic entanglement cost under a larger class of free superchannels was found to be limited by the generalized log-robustness of channels.
IEEE TRANSACTIONS ON INFORMATION THEORY
(2021)
Article
Psychology, Multidisciplinary
Richard Tindle, Mitchell G. Longstaff
Summary: Working memory and writing share a common resource. Increasing the complexity of a finger-tapping task can lead to decreased performance in recall, writing fluency, and tapping speed. This suggests that multitasking has a negative impact on memory retention and handwriting fluency.
CURRENT PSYCHOLOGY
(2023)
Article
Physics, Multidisciplinary
Hari Hara Suthan Chittoor, Osvaldo Simeone
Summary: This paper studies the design of LOCC protocols in the presence of noisy communication channels by using quantum machine learning tools. It focuses on quantum entanglement distillation and quantum state discrimination tasks and uses parameterized quantum circuits (PQCs) to optimize local processing while accounting for communication errors. The introduced approach, Noise Aware-LOCCNet (NA-LOCCNet), outperforms existing protocols designed for noiseless communications.
Article
Physics, Applied
David M. Bellorin R, Hermann L. Albrecht Q, Douglas F. Mundarain
Summary: This paper analyzes the local available quantum correlations (LAQC) of nonsymmetric 2-qubit X states and obtains an analytic expression for their quantifier. The study demonstrates that although local quantum channels can create quantum discord in X states in some cases, no such outcome is possible for LAQC, suggesting their monotonicity under LOCC operations.
INTERNATIONAL JOURNAL OF MODERN PHYSICS B
(2022)