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The well-known Schmidt decomposition, or equivalently, the complex singular value decomposition, states that a pure quantum state of a bipartite system can always be brought into a "diagonal" form using local unitary transformations. In…

量子物理 · 物理学 2024-01-17 Emanuel Malvetti

A general coherent control scenario to suppress, or accelerate, tunneling of quantum states decaying into a continuum, is investigated. The method is based on deterministic, or stochastic, sequences of unitary pulses that affect the…

量子物理 · 物理学 2010-09-09 Rajdeep Saha , Victor S. Batista

Electron transport in realistic physical and chemical systems often involves the non-trivial exchange of energy with a large environment, requiring the definition and treatment of open quantum systems. Because the time evolution of an open…

An algorithm is proposed to convert arbitrary unitary matrix to a sequence of $X$ gates and fully controlled $R_y, R_z$ and $R_1$ gates. This algorithm is used to generate Q# implementation for arbitrary unitary matrix. Some optimizations…

量子物理 · 物理学 2025-01-15 Dmytro Fedoriaka

We introduce a method to suppress unwanted transition channels, even without knowing their couplings, and achieve perfect population transfer in multistate quantum systems by the application of composite pulse sequences. Unwanted transition…

量子物理 · 物理学 2015-06-11 Genko T. Genov , Nikolay V. Vitanov

Density matrices evolved according the von Neumann equation are commonly used to simulate the dynamics of driven quantum systems. However, computational methods using density matrices are often too slow to explore the large parameter spaces…

计算物理 · 物理学 2022-02-02 Spenser Talkington , HongWen Jiang

A formulation of quantum mechanics based on replacing the general unitary group by finite groups is considered. To solve problems arising in the context of this formulation, we use computer algebra and computational group theory methods.

量子物理 · 物理学 2024-10-01 V. V. Kornyak

We consider the degrees of controllability of multi-partite quantum systems as well as necessary and sufficient criteria for each case. The results are applied to the problem of simultaneous control of an ensemble of quantum dots with a…

量子物理 · 物理学 2009-11-11 Sonia G Schirmer , Ivan C H Pullen , Allan I Solomon

Dephasing is a ubiquitous phenomenon that leads to the loss of coherence in quantum systems and the corruption of quantum information. We present a universal dynamical control approach to combat dephasing during all stages of quantum…

量子物理 · 物理学 2009-11-13 Goren Gordon , Gershon Kurizki

Unitary operation is an essential step for quantum information processing. We first propose an iterative procedure for decomposing a general unitary operation without resorting to controlled-NOT gate and single-qubit rotation library. Based…

量子物理 · 物理学 2022-04-06 Wen-Qiang Liu , Xin-Jie Zhou , Hai-Rui Wei

We develop and demonstrate a technique to engineer universal unitary baths in quantum systems. Using the correspondence between unitary decoherence due to ambient environmental noise and errors in a control system for quantum bits, we show…

量子物理 · 物理学 2015-06-19 A. Soare , H. Ball , D. Hayes , X. Zhen , M. C. Jarratt , J. Sastrawan , H. Uys , M. J. Biercuk

Most quantum processors requires pulse sequences for controlling quantum states. Here, we present an alternative algorithm for computing an optimal pulse sequence in order to perform a specific task, being an implementation of a quantum…

量子物理 · 物理学 2020-05-27 John P. S. Peterson , Roberto S. Sarthour , Raymond Laflamme

A dynamical decoupling method is presented which is based on embedding a deterministic decoupling scheme into a stochastic one. This way it is possible to combine the advantages of both methods and to increase the suppression of undesired…

量子物理 · 物理学 2007-05-23 Oliver Kern , Gernot Alber

Quantum optical cluster states have been increasingly explored, in the light of their importance for measurement-based quantum computing. Here we set forth a new method for generating quantum controlled cluster states: pumping an optical…

量子物理 · 物理学 2021-09-29 R. F. Barros , G. B. Alves , O. Pfister , A. Z. Khoury

Composite pulses are a quantum control technique for canceling out systematic control errors. We present a new composite pulse sequence inspired by quantum search. Our technique can correct a wider variety of systematic errors -- including,…

量子物理 · 物理学 2007-05-23 Ben W. Reichardt , Lov K. Grover

In the context of the mixing dynamical systems we present a derivation of the Gaussian ensembles distributions from mixing quantum systems having a classical analog that is mixing. We find that mixing factorization property is satisfied for…

量子物理 · 物理学 2017-03-29 Ignacio S. Gomez , Mariela Portesi

Quantum computation and quantum control operate by building unitary transformations out of sequences of elementary quantum logic operations or applications of control fields. This paper puts upper bounds on the minimum time required to…

量子物理 · 物理学 2019-01-14 Seth Lloyd , Reevu Maity

A universal programmable quantum processor uses program quantum states to apply an arbitrary quantum channel to an input state. We generalize the concept of a finite-dimensional programmable quantum processor to infinite dimension assuming…

量子物理 · 物理学 2021-07-15 Martina Gschwendtner , Andreas Winter

In this paper is presented an abstract theory of quantum processors and controllers, special kind of quantum computational network defined on a composite quantum system with two parts: the controlling and controlled subsystems. Such…

量子物理 · 物理学 2010-05-12 Alexander Yu. Vlasov

We introduce a task that we call partial decoupling, in which a bipartite quantum state is transformed by a unitary operation on one of the two subsystems and then is subject to the action of a quantum channel. We assume that the subsystem…

量子物理 · 物理学 2021-10-20 Eyuri Wakakuwa , Yoshifumi Nakata