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We present a method of using a nuclear magnetic resonance computer to solve the Deutsch-Jozsa problem in which: (1) the number of molecules in the NMR sample is irrelevant to the number of qubits available to an NMR quantum computer, and…

量子物理 · 物理学 2009-11-13 Amr F. Fahmy , Raimund Marx , Wolfgang Bermel , Steffen J. Glaser

We implemented the refined Deutsch-Jozsa algorithm on a 3-bit nuclear magnetic resonance quantum computer, which is the meaningful test of quantum parallelism because qubits are entangled. All of the balanced and constant functions were…

量子物理 · 物理学 2009-10-31 Jaehyun Kim , Jae-Seung Lee , Soonchil Lee , Chaejoon Cheong

Realistic physical implementations of quantum computers can entail tradeoffs which depart from the ideal model of quantum computation. Although these tradeoffs have allowed successful demonstration of certain quantum algorithms, a crucial…

量子物理 · 物理学 2007-05-23 Xinlan Zhou , Debbie W. Leung , Isaac L. Chuang

We describe a general framework for regarding oracle-assisted quantum algorithms as tools for discriminating between unitary transformations. We apply this to the Deutsch-Jozsa problem and derive all possible quantum algorithms which solve…

量子物理 · 物理学 2010-08-10 David Collins

Algebraic methods for solving time dependent Hamiltonians are used to investigate the performance of quantum thermal machines. We investigate the thermodynamic properties of an engine formed by two coupled q-bits, performing an Otto cycle.…

量子物理 · 物理学 2022-12-27 A. C. Duriez , D. Martínez-Tibaduiza , A. Z. Khoury

Solving finite-temperature properties of quantum many-body systems is generally challenging to classical computers due to their high computational complexities. In this article, we present experiments to demonstrate a hybrid…

We propose employing a quantum heat engine as a sensitive probe for thermal baths. In particular, we study a single-atom Otto engine operating in an open thermodynamic cycle. Owing to its cyclic nature, the engine is capable of translating…

量子物理 · 物理学 2020-05-15 Amikam Levy , Moritz Göb , Bo Deng , Kilian Singer , E. Torrontegui , Daqing Wang

The Deustch-Jozsa problem is one of the most basic ways to demonstrate the power of quantum computation. Consider a Boolean function f : {0,1}^n to {0,1} and suppose we have a black-box to compute f. The Deutsch-Jozsa problem is to…

量子物理 · 物理学 2022-01-05 Alastair A. Abbott

A redundancy in the existing Deutsch-Jozsa quantum algorithm is removed and a refined algorithm, which reduces the size of the register and simplifies the function evaluation, is proposed. The refined version allows a simpler analysis of…

量子物理 · 物理学 2009-10-31 David Collins , K. W. Kim , W. C. Holton

We investigate the realization of a simple solid-state quantum computer by implementing the Deutsch-Jozsa algorithm in a system of Josephson charge qubits. Starting from a procedure to carry out the one-qubit Deutsch-Jozsa algorithm we show…

量子物理 · 物理学 2009-11-07 Jens Siewert , Rosario Fazio

We study energetic exchanges and fluctuations in two-stroke quantum thermodynamic engines where the working fluid is represented by two multilevel quantum systems, i.e. qudits, the heat flow is allowed by relaxation with two thermal…

量子物理 · 物理学 2021-08-03 Massimiliano F. Sacchi

That superpositions of states can be useful for performing tasks in quantum systems has been known since the early days of quantum information, but only recently has quantitative theory of quantum coherence been proposed. Here we apply that…

量子物理 · 物理学 2016-02-16 Mark Hillery

Quantum algorithms are typically understood in terms of the evolution of a multi-qubit quantum system under a prescribed sequence of unitary transformations. The input to the algorithm prescribes some of the unitary transformations in the…

量子物理 · 物理学 2015-05-13 David Collins

Quantum computing raises the possibility of solving a variety of problems in physics that are presently intractable. A number of such problems involves the physics of systems in or near thermal equilibrium. There are two main ways to…

量子物理 · 物理学 2023-08-16 Carter Ball , Thomas D. Cohen

We present a novel approach to quantum algorithms, by taking advantage of modular values, i.e., complex and unbounded quantities resulting from specific post-selected measurement scenarios. Our focus is on the problem of ascertaining…

量子物理 · 物理学 2024-06-12 Lorena Ballesteros Ferraz , Timoteo Carletti , Yves Caudano

We examine the thermodynamic characteristics of unified quantum statistics as a novel framework that undergoes a crossover between Bose-Einstein and Fermi-Dirac statistics by varying a generalization parameter $\delta$. We find an…

统计力学 · 物理学 2023-10-26 Habib Esmaili , Hosein Mohammadzadeh , Mehdi Biderang , Morteza Nattagh Najafi

The thermodynamics of small quantum many-body systems strongly coupled to a heat bath at low temperatures with non-Markovian behavior are new challenges for quantum thermodynamics, as traditional thermodynamics is built on large systems…

量子物理 · 物理学 2019-04-23 Jen-Tsung Hsiang , B. L. Hu

The rate of temperature decrease of a cooled quantum bath is studied as its temperature is reduced to the absolute zero. The III-law of thermodynamics is then quantified dynamically by evaluating the characteristic exponent {\zeta} of the…

量子物理 · 物理学 2015-04-17 Amikam Levy , Robert Alicki , Ronnie Kosloff

We show that certain coherences, termed as heat-exchange coherences, which contribute to the thermalization process of a quantum probe in a repeated interactions scheme, can modify the spectral response of the probe system. We suggest to…

量子物理 · 物理学 2019-12-20 Ricardo Román-Ancheyta , Barış Çakmak , Özgür E. Müstecaplıoğlu

The extension of thermodynamics into the quantum regime has received much attention in recent years. A primary objective of current research is to find thermodynamic tasks which can be enhanced by quantum mechanical effects. With this goal…

量子物理 · 物理学 2015-12-10 Mark T. Mitchison , Mischa P. Woods , Javier Prior , Marcus Huber
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