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Adiabatic quantum optimization offers a new method for solving hard optimization problems. In this paper we calculate median adiabatic times (in seconds) determined by the minimum gap during the adiabatic quantum optimization for an NP-hard…

The optimal protocols for the irreversible work achieve their maximum usefulness if their work fluctuations are the smallest ones. In this work, for classical and isothermal processes subjected to finite-time and weak drivings, I show that…

统计力学 · 物理学 2023-11-14 Pierre Nazé

Quantum adiabatic computation is a novel paradigm for the design of quantum algorithms, which is usually used to find the minimum of a classical function. In this paper, we show that if the initial hamiltonian of a quantum adiabatic…

量子物理 · 物理学 2007-05-23 Zhaohui Wei , Mingsheng Ying

We adopt a geometric approach to describe the performance of adiabatic quantum machines, operating under slow time-dependent driving and in contact to two or more reservoirs with a temperature bias during all the cycle. We show that the…

量子物理 · 物理学 2022-03-29 Pablo Terren Alonso , Paolo Abiuso , Marti Perarnau-Llobet , Liliana Arrachea

We analyze the performance of adiabatic quantum computation (AQC) under the effect of decoherence. To this end, we introduce an inherently open-systems approach, based on a recent generalization of the adiabatic approximation. In contrast…

量子物理 · 物理学 2009-11-11 M. S. Sarandy , D. A. Lidar

Surface hopping algorithms, as an important class of quantum dynamics simulation algorithms for non-adiabatic dynamics, are typically performed in the adiabatic representation, which can break down in the presence of ill-defined adiabatic…

数值分析 · 数学 2022-05-06 Zhenning Cai , Di Fang , Jianfeng Lu

Most investigations devoted to the conditions for adiabatic quantum computing are based on the first-order correction ${\bra{\Psi_{\rm ground}(t)}\dot H(t)\ket{\Psi_{\rm excited}(t)} /\Delta E^2(t)\ll1}$. However, it is demonstrated that…

量子物理 · 物理学 2009-11-11 Gernot Schaller , Sarah Mostame , Ralf Schützhold

We prove an adiabatic theorem for the ground state of the Dicke model in a slowly rotating magnetic field and show that for weak electron-photon coupling, the adiabatic time scale is close to the time scale of the corresponding two level…

泛函分析 · 数学 2009-10-31 J. E. Avron , A. Elgart

We review the quantum adiabatic approximation for closed systems, and its recently introduced generalization to open systems (M.S. Sarandy and D.A. Lidar, e-print quant-ph/0404147). We also critically examine a recent argument claiming that…

量子物理 · 物理学 2007-05-23 M. S. Sarandy , L. -A. Wu , D. A. Lidar

For adiabatic controls of quantum systems, the non-adiabatic transitions are reduced by increasing the operation time of processes. Perfect quantum adiabaticity usually requires the infinitely slow variation of control parameters. In this…

量子物理 · 物理学 2022-07-01 Jin-Fu Chen

A first principle reciprocating quantum refrigerator is investigated with the purpose of determining the limitations of cooling to absolute zero. We find that if the energy spectrum of the working medium possesses an uncontrollable gap,…

化学物理 · 物理学 2015-05-13 Tova Feldmann , Ronnie Kosloff

Quantum pumping, in its different forms, is attracting attention from different fields, from fundamental quantum mechanics, to nanotechnology, to superconductivity. We investigate the crossover of quantum pumping from the adiabatic to the…

It is known that for multi-level time-dependent quantum systems one can construct superadiabatic representations in which the coupling between separated levels is exponentially small in the adiabatic limit. For a family of two-state systems…

数学物理 · 物理学 2009-11-10 Volker Betz , Stefan Teufel

Quantum annealing is a promising algorithm for solving combinatorial optimization problems. It searches for the ground state of the Ising model, which corresponds to the optimal solution of a given combinatorial optimization problem. The…

统计力学 · 物理学 2026-02-25 Tomohiro Hattori , Shu Tanaka

For two canonical examples of driven mesoscopic systems - a harmonically-trapped Brownian particle and a quantum dot - we numerically determine the finite-time protocols that optimize the compromise between the standard deviation and the…

统计力学 · 物理学 2018-05-09 Alexandre P. Solon , Jordan M. Horowitz

We study quantum adiabatic dynamics, where the slowly moving field is influenced by system's state (feedback). The information for the feedback is gained from non-disturbating measurements done on an ensemble of identical non-interacting…

量子物理 · 物理学 2009-11-13 Armen E. Allahverdyan , Guenter Mahler

An apparent violation of the second law of thermodynamics occurs when an atom coupled to a zero-temperature bath, being necessarily in an excited state, is used to extract work from the bath. Here the fallacy is that it takes work to couple…

量子物理 · 物理学 2009-11-13 G. W. Ford , R. F. O'Connell

Different techniques to speed up quantum adiabatic processes are currently being explored for applications in atomic, molecular and optical physics, such as transport, cooling and expansions, wavepacket splitting, or internal state control.…

量子物理 · 物理学 2013-01-01 S. Ibáñez , Xi Chen , J. G. Muga

Considering a general microscopic model for a quantum measuring apparatus comprising a quantum probe coupled to a thermal bath, we analyze the energetic resources necessary for the realization of a quantum measurement, which includes the…

量子物理 · 物理学 2025-01-29 Camille L Latune , Cyril Elouard

With the aim of describing real-time electron dynamics, we introduce an adiabatic approximation for the equation of motion of the one-body reduced-density matrix (one-matrix). The eigenvalues of the one-matrix, which represent the…

强关联电子 · 物理学 2012-09-18 Ryan Requist , Oleg Pankratov