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We report a new metric of quantum states. This metric is build up from super-fidelity, which has deep connection with the Uhlmann-Jozsa fidelity and plays an important role in quantifying entanglement. We find that the new metric possess…

量子物理 · 物理学 2009-08-24 Zhi-Hao Ma , Fu-Lin Zhang , Zhi-Hua Chen , Jing-Ling Chen

We investigate the problem of optimally approximating a desired state by the convex mixing of a set of available states. The problem is recasted as finding the optimal state with the minimum distance from target state in a convex set of…

量子物理 · 物理学 2022-11-23 Huaqi Zhou , Ting Gao , Fengli Yan

Individual neutral atoms excited to Rydberg states are a promising platform for quantum simulation and quantum information processing. However, experimental progress to date has been limited by short coherence times and relatively low gate…

The rate of the trace distance is used to evaluate quantum speed-up for arbitrary mixed states. Compared with some present methods, the approach based on trace distance can provide an optimal bound to the speed of the evolution. The…

量子物理 · 物理学 2016-11-04 Xiang Hao , Wenjiong Wu

We provide an upper bound on the quasi-relative entropy in terms of the trace distance. The bound is derived for two cases: 1) any operator monotone decreasing function and full rank mixed qubit or classical states; 2) a large class of…

量子物理 · 物理学 2020-12-23 Anna Vershynina

The Mandelstam-Tamm and Margolus-Levitin inequalities play an important role in the study of quantum mechanical processes in Nature, since they provide general limits on the speed of dynamical evolution. However, to date there has been only…

量子物理 · 物理学 2010-08-17 Philip J. Jones , Pieter Kok

We extend to finite temperature the fidelity approach to quantum phase transitions (QPTs). This is done by resorting to the notion of mixed-state fidelity that allows one to compare two density matrices corresponding to two different…

量子物理 · 物理学 2007-05-23 Paolo Zanardi , H. T. Quan , Xiaoguang Wang , C. P. Sun

We introduce the concept of fidelity for dynamical maps in an open quantum system scenario. We derive an inequality linking this quantity to the distinguishability of the inducing environmental states. Our inequality imposes constraints on…

量子物理 · 物理学 2017-05-10 Mikko Tukiainen , Henri Lyyra , Gniewomir Sarbicki , Sabrina Maniscalco

We prove fundamental rigorous bounds on the speed of quantum evolution for a quantum system coupled to a thermal bath. The bounds are formulated in terms of expectation values of few-body observables derived from the system-bath…

量子物理 · 物理学 2024-08-20 N. Il'in , A. Aristova , O. Lychkovskiy

The average time $T$ required for high-fidelity readout of quantum states can be significantly reduced via a real-time adaptive decision rule. An adaptive decision rule stops the readout as soon as a desired level of confidence has been…

量子物理 · 物理学 2016-02-25 B. D'Anjou , L. Kuret , L. Childress , W. A. Coish

The quantum speed limit time for quantum system under squeezed environment is studied. We consider two typical models, the damped Jaynes-Cummings model and the dephasing model. For the damped Jaynes-Cummings model under squeezed…

量子物理 · 物理学 2021-10-08 Kang-ying Du , Ya-jie Ma , Shao-xiong Wu , Chang-shui Yu

We generalize the experimental success criterion for quantum teleportation/memory in continuous-variable quantum systems to be suitable for non-unit-gain condition by considering attenuation/amplification of the coherent-state amplitude.…

量子物理 · 物理学 2008-09-29 Ryo Namiki , Masato Koashi , Nobuyuki Imoto

Applications of quantum technology often require fidelities to quantify performance. These provide a fundamental yardstick for the comparison of two quantum states. While this is straightforward in the case of pure states, it is much more…

We analyze the influence of relativistic effects on the minimum evolution time between two orthogonal states of a quantum system. Defining the initial state as an homogeneous superposition between two Hamiltonian eigenstates of an electron…

量子物理 · 物理学 2015-10-14 David V. Villamizar , Eduardo I. Duzzioni

We introduce a simple protocol for adaptive quantum state tomography, which reduces the worst-case infidelity between the estimate and the true state from $O(N^{-1/2})$ to $O(N^{-1})$. It uses a single adaptation step and just one extra…

We calculate the trade-off between the quality of estimating the quantum state of an ensemble of identically prepared qubits and the minimum level of disturbance that has to be introduced by this procedure in quantum mechanics. The…

量子物理 · 物理学 2009-11-07 Konrad Banaszek , Igor Devetak

Quantum speed limit time defines the limit on the minimum time required for a quantum system to evolve between two states. Investigation of bounds on speed limit time of quantum system under non-unitary evolution is of fundamental interest,…

量子物理 · 物理学 2022-10-04 K. G Paulson , Subhashish Banerjee , R. Srikanth

Coherence is the most fundamental quantum resource in quantum information processing. How fast a physical system gets coherence or decoherence is a critical ingredient. We present an attainable quantum speed limit based on the variation of…

量子物理 · 物理学 2025-10-07 Zi-yi Mai , CHang-shui Yu

Recently the problem of Unambiguous State Discrimination (USD) of mixed quantum states has attracted much attention. So far, bounds on the optimum success probability have been derived [1]. For two mixed states they are given in terms of…

量子物理 · 物理学 2008-06-04 Philippe Raynal , Norbert Lütkenhaus

Quantum theory sets the bound on the minimal evolution time between initial and final states of the quantum system. This minimal evolution time can be used to specify the maximal speed of the evolution in open and closed quantum systems.…

量子物理 · 物理学 2019-09-04 S. Haseli
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