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We study a quantum Otto cycle that uses a 2-qubit working substance whose Hamiltonian does not commute with itself at different times during unitary strokes. We investigate how the cycle responds to the loss of quantum adiabaticity when…

Quantum Physics · Physics 2022-05-03 Cleverson Cherubim , Thiago R. de Oliveira , Daniel Jonathan

The parametric deformations of quasienergies and eigenvectors of unitary operators are applied to the design of quantum adiabatic algorithms. The conventional, standard adiabatic quantum computation proceeds along eigenenergies of…

Quantum Physics · Physics 2015-05-14 Atushi Tanaka , Kae Nemoto

We present a rigorous proof that quantum circuit algorithm can be transformed into quantum adiabatic algorithm with the exact same time complexity. This means that from a quantum circuit algorithm of $L$ gates we can construct a quantum…

Quantum Physics · Physics 2018-10-24 Hongye Yu , Yuliang Huang , Biao Wu

We investigate a quantum pump which in addition to its dynamic pump parameters is subject to oscillating external potentials applied to the contacts of the sample. Of interest is the rectification of the ac currents flowing through the…

Condensed Matter · Physics 2009-11-10 M. Moskalets , M. Buttiker

We develop a unified treatment of pumping and nonequilibrium thermodynamics. We show that the pumping current generated through an adiabatic mechanical operation in equilibrium can be expressed in terms of the stationary distribution of the…

Statistical Mechanics · Physics 2014-08-22 Naoko Nakagawa

A one-dimensional system with two $\delta$-like barriers or wells bi-chromaticaly oscillating at frequencies $\omega$ and $2\omega$ is considered. The alternating signal leads to the direct current across the structure (even in a symmetric…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 M. M. Mahmoodian , M. V. Entin

We present a study of adiabatic Cooper pair pumping in one dimensional array of Cooper pair boxes. We do a detailed theoretical analysis of an experimentally realizable stabilized charge pumping scheme in a linear array of Cooper pair…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Sujit Sarkar

Quantum batteries are energy storage devices that satisfy quantum mechanical principles. How to improve the battery's performance such as stored energy and power is a crucial element in the quantum battery. Here, we investigate the charging…

Quantum Physics · Physics 2021-12-01 Fu-Quan Dou , Yuan-Jin Wang , Jian-An Sun

We study the adiabatic approximation of the dynamics of a bipartite quantum system with respect to one of the components, when the coupling between its two components is perturbative. We show that the density matrix of the considered…

Mathematical Physics · Physics 2015-06-22 David Viennot , Lucile Aubourg

Quantum phase estimation (QPE) is a central algorithmic primitive that estimates eigenvalues of a Hamiltonian up to precision $\epsilon$ in Heisenberg-limited time $T=\Theta(1/\epsilon)$. Standard gate-based implementations of QPE require…

Quantum Physics · Physics 2026-05-22 Alexander Schmidhuber , Seth Lloyd

Recent experiments have observed Cooper pair splitting in quantum dots coupled to superconductors, and efficient schemes for controlling and timing the splitting process are now called for. Here, we propose and analyze an adiabatic Cooper…

Mesoscale and Nanoscale Physics · Physics 2024-02-09 Fredrik Brange , Riya Baruah , Christian Flindt

We study a one-dimensional quantum pump composed of two oscillating delta-functional barriers. The linear and non-linear regimes are considered. The harmonic signal applied to any or both barriers causes the stationary current. The…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 M. M. Mahmoodian , L. S. Braginskii , M. V. Entin

The Quantum Approximate Optimization Algorithm and its generalization to Quantum Alternating Operator Ansatz (QAOA) is a promising approach for applying quantum computers to challenging problems such as combinatorial optimization and…

Quantum Physics · Physics 2023-07-25 Vladimir Kremenetski , Anuj Apte , Tad Hogg , Stuart Hadfield , Norm M. Tubman

The first proof of the quantum adiabatic theorem was given as early as 1928. Today, this theorem is increasingly applied in a many-body context, e.g. in quantum annealing and in studies of topological properties of matter. In this setup,…

Mathematical Physics · Physics 2017-09-29 Sven Bachmann , Wojciech De Roeck , Martin Fraas

Adiabatic quantum computation has recently attracted attention in the physics and computer science communities, but its computational power was unknown. We describe an efficient adiabatic simulation of any given quantum algorithm, which…

Quantum Physics · Physics 2007-11-22 Dorit Aharonov , Wim van Dam , Julia Kempe , Zeph Landau , Seth Lloyd , Oded Regev

For an open quantum system, we investigate the pumped current induced by a slow modulation of control parameters on the basis of the quantum master equation and full counting statistics. We find that the average and the cumulant generating…

Mesoscale and Nanoscale Physics · Physics 2012-12-20 Tatsuro Yuge , Takahiro Sagawa , Ayumu Sugita , Hisao Hayakawa

We introduce a scheme based on adiabatic passage that allows for long-range quantum communication through tight-binding chain with always-on interaction. By adiabatically varying the external gate voltage applied on the system, the electron…

Quantum Physics · Physics 2012-07-10 Bing Chen , Wei Fan , Yan Xu , Zhao-yang Chen , Xun-li Feng , C. H. Oh

Adiabatic evolution is used in a variety of quantum information processing tasks. However, the elimination of errors is not as well-developed as it is for circuit model processing. Here, we present a strategy to accelerate a reliable…

Quantum Physics · Physics 2018-06-13 Zhao-Ming Wang , Mark Byrd , Jun Jing , Lian-Ao Wu

Quantum batteries are energy storage devices built using quantum mechanical objects, which are developed with the aim of outperforming their classical counterparts. Proposing optimal designs of quantum batteries which are able to exploit…

Quantum Physics · Physics 2023-11-07 C. A. Downing , M. S. Ukhtary

We present a quantum Otto engine model consisting of two isochoric and two adiabatic strokes, where the adiabatic expansion or compression is realized by adiabatically changing the shape of the potential. Here we show that such an adiabatic…

Quantum Physics · Physics 2022-02-15 Kai Li , Yang Xiao , Jizhou He , Jianhui Wang
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