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We initiate the systematic study of the energy complexity of algorithms (in addition to time and space complexity) based on Landauer's Principle in physics, which gives a lower bound on the amount of energy a system must dissipate if it…

数据结构与算法 · 计算机科学 2016-05-30 Erik D. Demaine , Jayson Lynch , Geronimo J. Mirano , Nirvan Tyagi

Quantum circuits for mathematical functions such as division are necessary to use quantum computers for scientific computing. Quantum circuits based on Clifford+T gates can easily be made fault-tolerant but the T gate is very costly to…

量子物理 · 物理学 2018-09-27 Himanshu Thapliyal , Edgard Muñoz-Coreas , T. S. S. Varun , Travis S. Humble

Existing quantum systems provide very limited physical qubit counts, trying to execute a quantum algorithm/circuit on them that have a higher number of logical qubits than physically available lead to a compile-time error. Given that it is…

新兴技术 · 计算机科学 2023-01-03 Movahhed Sadeghi , Soheil Khadirsharbiyani , Mahmut Taylan Kandemir

The free energy of a quantum oscillator in an arbitrary heat bath at a temperature T is given by a "remarkable formula" which involves only a single integral. This leads to a corresponding simple result for the entropy. The low temperature…

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

In this paper we use optimal control to design minimum-time adiabatic-like paths for the expansion of a quantum piston. Under realistic experimental constraints, we calculate the minimum expansion time and compare it with that obtained from…

最优化与控制 · 数学 2014-01-17 Dionisis Stefanatos

Landauer's erasure principle is a cornerstone of thermodynamics and information theory. According to this principle, erasing information incurs a minimum energy cost. Recently, Vaccaro and Barnett [Proc. R. Soc {\bf 467}, 1770 (2011)]…

We develop an exact theory of coherence-selective stroboscopic resetting for quadratic open quantum systems within the single-particle density-matrix formalism. We focus on the survival of coherences and the associated thermodynamic cost at…

量子物理 · 物理学 2026-04-21 Jishad Kumar , Achilleas Lazarides , Tapio Ala-Nissila

Achieving a practical advantage with near-term quantum computers hinges on having effective methods to suppress errors. Recent breakthroughs have introduced methods capable of exponentially suppressing errors by preparing multiple noisy…

量子物理 · 物理学 2021-03-26 Piotr Czarnik , Andrew Arrasmith , Lukasz Cincio , Patrick J. Coles

The second law of thermodynamics states that a system in contact with a heat bath can undergo a transformation if and only if its free energy decreases. However, the "if" part of this statement is only true when the effective heat bath is…

量子物理 · 物理学 2018-06-27 Jonathan G. Richens , Álvaro M. Alhambra , Lluis Masanes

As quantum photonic hardware scales toward computationally relevant sizes, energy consumption has emerged as a key constraint. Programmable photonic integrated circuits, composed of interferometer meshes with tunable phase modulators,…

量子物理 · 物理学 2026-02-06 Maria Carolina Volpato , Gabriel da Silva Sampaio , Pierre-Louis de Assis

A powerful control method in experimental quantum computing is the use of spin echoes, employed to select a desired term in the system's internal Hamiltonian, while refocusing others. Here we address a more general problem, describing a…

量子物理 · 物理学 2020-03-04 Gaurav Bhole , Takahiro Tsunoda , Peter J. Leek , Jonathan A. Jones

It is commonly recognized that the Landauer bound holds in (irreversible) quantum operations. In this study, we verified this bound by extracting a single spin from a spin-spin magnetic interaction experiment to demonstrate that the…

综合物理 · 物理学 2023-07-03 Frank Zhigang Wang

Shortcut to isothermality is a driving strategy to steer the system to its equilibrium states within finite time, and enables evaluating the impact of a control promptly. Finding optimal scheme to minimize the energy cost is of critical…

统计力学 · 物理学 2022-06-14 Geng Li , Jin-Fu Chen , C. P. Sun , Hui Dong

As the field of quantum computing grows, novel algorithms which take advantage of quantum phenomena need to be developed. As we are currently in the NISQ (noisy intermediate scale quantum) era, quantum algorithm researchers cannot reliably…

量子物理 · 物理学 2024-11-28 Youssef Moawad , Andrew Brown , René Steijl , Wim Vanderbauwhede

We study the optimal quantum control of heteronuclear two-qubit systems described by a Hamiltonian containing both nonlocal internal drift and local control terms. We derive an explicit formula to compute the minimum time required to steer…

量子物理 · 物理学 2013-11-07 Bin Li , Zu-Huan Yu , Shao-Ming Fei , XianQing Li-Jost

We recalculate the two loop corrections in the background heat bath using real time formalism. The procedure of the integrations of loop momenta with dependence on finite temperature before the momenta without it, has been followed. We…

高能物理 - 唯象学 · 物理学 2015-05-28 Mahnaz Q. Haseeb , Samina S. Masood

We explore the fundamental limits on thermodynamic irreversibility when cooling a quantum system in the presence of a finite-size reservoir. First, we prove that for any non-interacting $n$-particle reservoir, the entropy production…

量子物理 · 物理学 2025-12-10 Patryk Lipka-Bartosik , Martí Perarnau-Llobet

In this work we explore the use of thermodynamic length to improve the performance of experimental protocols. In particular, we implement Landauer erasure on a driven electron level in a semiconductor quantum dot, and compare the standard…

介观与纳米尺度物理 · 物理学 2023-02-03 Matteo Scandi , David Barker , Sebastian Lehmann , Kimberly A. Dick , Ville F. Maisi , Martí Perarnau-Llobet

We consider a finite-time quantum Otto cycle with single and two-spin-$1/2$ systems as its working medium. In order to mimic adiabatic dynamics at a finite-time, we employ a shortcut-to-adiabaticity technique and evaluate the performance of…

量子物理 · 物理学 2019-03-08 Barış Çakmak , Özgür E. Müstecaplıoğlu

The relation between entropy and information has great significance for computation. Based on the strict reversibility of the laws of microphysics, Landauer (1961), Bennett (1973), Priese (1976), Fredkin and Toffoli (1982), Feynman (1985)…

量子物理 · 物理学 2021-11-16 Basil Evangelidis