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相关论文: Clifford Ergotropy

200 篇论文

We investigate the dynamics of ergotropy in open systems under Markovian and non-Markovian evolutions. In this scenario, we begin by formulating the ergotropy of an arbitrary qubit state in terms of energy and coherence. Thus, we determine…

量子物理 · 物理学 2024-05-28 J. M. Z. Choquehuanca , P. A. C. Obando , F. M. de Paula , M. S. Sarandy

The thermodynamics of quantum systems coupled to periodically modulated heat baths and work reservoirs is developed. By identifying affinities and fluxes, the first and second law are formulated consistently. In the linear response regime,…

统计力学 · 物理学 2016-06-29 Kay Brandner , Udo Seifert

We investigate how non-stabilizer resources enable the emergence of quantum state designs within the projected ensemble. Starting from initial states with finite magic and applying resource-free Clifford circuits to scramble them, we…

量子物理 · 物理学 2026-01-21 Hugo Lóio , Guglielmo Lami , Lorenzo Leone , Max McGinley , Xhek Turkeshi , Jacopo De Nardis

The classical simulation of highly-entangling quantum dynamics is conjectured to be generically hard. Thus, recently discovered measurement-induced transitions between highly entangling and low-entanglement dynamics are phase transitions in…

量子物理 · 物理学 2024-08-16 Mircea Bejan , Campbell McLauchlan , Benjamin Béri

Ergotropy is defined as the maximum amount of work that can be extracted through a unitary cyclic evolution. It plays a crucial role in assessing the work capacity of a quantum system. Recently, the significance of quantum coherence in work…

量子物理 · 物理学 2024-09-11 Zhibo Niu , Yang Wu , Yunhan Wang , Xing Rong , Jiangfeng Du

We study the ergodic properties of a unitary Floquet dynamics arising from the repeated application of a translationally-invariant Clifford Quantum Cellular Automata to an infinite system of qubits in d dimensions. One expects that if the…

量子物理 · 物理学 2026-03-23 Anton Kapustin , Daniil Radamovich

Unraveling the secrets of how much nonstabilizerness a quantum dynamic can generate is crucial for harnessing the power of magic states, the essential resources for achieving quantum advantage and realizing fault-tolerant quantum…

量子物理 · 物理学 2024-09-11 Chengkai Zhu , Yu-Ao Chen , Zanqiu Shen , Zhiping Liu , Zhan Yu , Xin Wang

Motivated by their necessity for most fault-tolerant quantum computation schemes, we formulate a resource theory for magic states. We first show that robustness of magic is a well-behaved magic monotone that operationally quantifies the…

量子物理 · 物理学 2017-03-16 Mark Howard , Earl T. Campbell

The Clifford group plays a central role in quantum information science. It is the building block for many error-correcting schemes and matches the first three moments of the Haar measure over the unitary group -a property that is essential…

The development of a framework for quantifying "non-stabiliserness" of quantum operations is motivated by the magic state model of fault-tolerant quantum computation, and by the need to estimate classical simulation cost for noisy…

量子物理 · 物理学 2019-08-05 James R. Seddon , Earl T. Campbell

In a previous paper, we have developed a general theory of thermodynamic limits. We apply it here to three different Coulomb quantum systems, for which we prove the convergence of the free energy per unit volume. The first system is the…

数学物理 · 物理学 2008-12-21 Christian Hainzl , Mathieu Lewin , Jan Philip Solovej

We consider the Non-Equilibrium Steady State induced by two infinite quantum thermal reservoirs at different temperatures and derive an inequality giving the upper bound of the work extracted by cyclic operations. This upper bound tends to…

统计力学 · 物理学 2024-06-19 Kazuki Yamaga

From thermodynamics point of view, in this era of aiming at energy conservation and sustainability, we need to develop more accurate ways to design thermal power, cooling and heat pump cycles. It has been the general practice in…

统计力学 · 物理学 2013-07-23 GA Mansoori

Quantum state complexity metrics, such as anticoncentration and nonstabilizerness, or ``magic'', offer key insights into many-body physics, information scrambling, and quantum computing. Anticoncentration and equilibration of magic…

量子物理 · 物理学 2025-09-22 Emanuele Tirrito , Xhek Turkeshi , Piotr Sierant

We study the modification of the second law of thermodynamics for a quantum system interacting with a reservoir regarding quantum coherence. The whole system is isolated so that neither energy nor information is lost. It is discovered that…

量子物理 · 物理学 2021-10-12 Yu-Han Ma , C. L. Liu , C. P. Sun

In this work we improve the runtime of recent classical algorithms for strong simulation of quantum circuits composed of Clifford and T gates. The improvement is obtained by establishing a new upper bound on the stabilizer rank of $m$…

量子物理 · 物理学 2021-12-22 Hammam Qassim , Hakop Pashayan , David Gosset

We examine the relationship between the second law of thermodynamics and the energy eigenstates of quantum many-body systems that undergo cyclic unitary evolution. Using a numerically optimized control protocol, we analyze how the work…

量子物理 · 物理学 2023-08-08 Shotaro Z. Baba , Nobuyuki Yoshioka , Takahiro Sagawa

We consider a generalisation of thermodynamics that deals with multiple conserved quantities at the level of individual quantum systems. Each conserved quantity, which, importantly, need not commute with the rest, can be extracted and…

量子物理 · 物理学 2016-07-14 Yelena Guryanova , Sandu Popescu , Anthony J. Short , Ralph Silva , Paul Skrzypczyk

In quantum computing, non-stabilizerness -- the magic -- refers to the computational advantage of certain quantum states over classical computers and is an essential ingredient for universal quantum computation. Employing the second order…

量子物理 · 物理学 2025-03-06 Qiaofeng Liu , Ian Low , Zhewei Yin

I give a self-contained introduction to the resource theory approach to quantum thermodynamics. I will introduce in an elementary manner the technical machinery necessary to unpack and prove the core statements of the theory. The topics…

量子物理 · 物理学 2019-10-24 Matteo Lostaglio