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Nonadiabatic holonomic quantum computation has robust feature in suppressing control errors because of its holonomic feature. However, this kind of robust feature is challenged since the usual way of realizing nonadiabatic holonomic gates…

Quantum Physics · Physics 2017-06-14 G. F. Xu , P. Z. Zhao , T. H. Xing , Erik Sjöqvist , D. M. Tong

We study the heat statistics of a quantum Brownian motion described by the Caldeira-Leggett model. By using the path integral approach, we introduce a novel concept of the quantum heat functional along every pair of Feynman paths. This…

Statistical Mechanics · Physics 2018-07-18 Ken Funo , H. T. Quan

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…

Quantum Physics · Physics 2022-03-29 Pablo Terren Alonso , Paolo Abiuso , Marti Perarnau-Llobet , Liliana Arrachea

In this article we review aspects of charge and heat transport in interacting quantum dots and molecular junctions under stationary and time-dependent non-equilibrium conditions due to finite electrical and thermal bias. In particular, we…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 F. Haupt , M. Leijnse , H. L. Calvo , L. Classen , J. Splettstoesser , M. R. Wegewijs

In the study of quantum limits to parameter estimation, the high dimensionality of the density operator and that of the unknown parameters have long been two of the most difficult challenges. Here we propose a theory of quantum…

Quantum Physics · Physics 2020-08-05 Mankei Tsang , Francesco Albarelli , Animesh Datta

Continuous-variable (CV) photonic states are of increasing interest in quantum information science, bolstered by features such as deterministic resource state generation and error correction via bosonic codes. Data-efficient…

Quantum Physics · Physics 2022-11-22 Joseph C. Chapman , Joseph M. Lukens , Bing Qi , Raphael C. Pooser , Nicholas A. Peters

This paper proposes a single-domain dual-reciprocity inclusion-based boundary element method (DR-iBEM) for a three-dimensional fully bonded bi-layered composite embedded with ellipsoidal inhomogeneities under transient/harmonic thermal…

Numerical Analysis · Mathematics 2025-12-11 Chunlin Wu , Liangliang Zhang , Tengxiang Wang , Huiming Yin

Quantum state estimation is a fundamental task in quantum information theory, where one estimates real parameters continuously embedded in a family of quantum states. In the theory of quantum state estimation, the widely used Cram\'er Rao…

Quantum Physics · Physics 2025-07-23 Masahito Hayashi , Yingkai Ouyang

We introduce a classical algorithm to approximate the free energy of local, translation-invariant, one-dimensional quantum systems in the thermodynamic limit of infinite chain size. While the ground state problem (i.e., the free energy at…

Quantum Physics · Physics 2024-07-04 Hamza Fawzi , Omar Fawzi , Samuel O. Scalet

Nonadiabatic holonomic quantum computation has received increasing attention due to the merits of both robustness against control errors and high-speed implementation. A crucial step in realizing nonadiabatic holonomic quantum computation…

Quantum Physics · Physics 2023-08-15 P. Z. Zhao , D. M. Tong

The Bayesian Cram\'er-Rao bound (BCRB) is a crucial tool in signal processing for assessing the fundamental limitations of any estimation problem as well as benchmarking within a Bayesian frameworks. However, the BCRB cannot be computed…

Signal Processing · Electrical Eng. & Systems 2025-02-11 Hai Victor Habi , Hagit Messer , Yoram Bresler

There is currently significant interest in operating devices in the quantum regime, where their behaviour cannot be explained through classical mechanics. Quantum states, including entangled states, are fragile and easily disturbed by…

Quantum Physics · Physics 2018-06-05 André Xuereb , Matteo Aquilina , Shabir Barzanjeh

Quantum thermodynamics allows for the interconversion of quantum coherence and mechanical work. Quantum coherence is thus a potential physical resource for quantum machines. However, formulating a general nonequilibrium thermodynamics of…

Quantum Physics · Physics 2025-11-05 Franklin L. S. Rodrigues , Eric Lutz

We investigate variational problems in quantum thermodynamics at positive temperature, in which admissible states are constrained by prescribed outcomes of a finite set of measurements. We solve a problem raised by the recent work [Liu,…

Mathematical Physics · Physics 2026-03-09 Emanuele Caputo , Augusto Gerolin , Nataliia Monina , Pavlo Pelikh , Lorenzo Portinale

Temperature estimation of interacting quantum many-body systems is both a challenging task and topic of interest in quantum metrology, given that critical behavior at phase transitions can boost the metrological sensitivity. Here we study…

Quantum Physics · Physics 2023-12-05 Mei Yu , H. Chau Nguyen , Stefan Nimmrichter

A statistical theory is presented which allows to calculate the stationary state achieved by a driven system after a process of collisionless relaxation. The theory is applied to study an electron beam driven by an external electric field.…

Statistical Mechanics · Physics 2009-04-03 Felipe B. Rizzato , Renato Pakter , Yan Levin

High-fidelity quantum gates are essential for large-scale quantum computation, which can naturally be realized in a noise-resilient way. Geometric manipulation and decoherence-free subspace encoding are promising ways toward robust quantum…

Quantum Physics · Physics 2019-08-20 Zhennan Zhu , Tao Chen , Xiaodong Yang , Ji Bian , Zheng-Yuan Xue , Xinhua Peng

We propose an adiabatic method for optimal phonon temperature estimation using trapped ions which can be operated beyond the Lamb-Dicke regime. The quantum sensing technique relies on a time-dependent red-sideband transition of phonon…

Quantum Physics · Physics 2021-03-24 Aleksandrina V. Kirkova , Weibin Li , Peter A. Ivanov

The formalism used in describing the thermodynamics of abrupt (or first-order) phase transitions is reviewed as an application of maximum entropy inference. In this treatment, we show that the concepts of transition temperature, latent heat…

Statistical Mechanics · Physics 2016-08-01 Sergio Davis , Joaquín Peralta , Yasmín Navarrete , Diego González , Gonzalo Gutiérrez

Understanding the thermodynamics of driven quantum systems strongly coupled to thermal baths is a central focus of quantum thermodynamics and mesoscopic physics. A variety of different methodological approaches exist in the literature, all…

Quantum Physics · Physics 2024-08-29 Artur M. Lacerda , Archak Purkayastha , Michael Kewming , Gabriel T. Landi , John Goold