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The Brownian dynamics of the density operator for a quantum system interacting with a classical heat bath is described using a stochastic, non-linear Liouville equation obtained from a variational principle. The environment's degrees of…

量子物理 · 物理学 2015-06-26 M. Grigorescu

It is shown that the operator sum representation for non-Markovian dynamics and the Lindblad master equation in Markovian limit can be derived from a formal solution to quantum Liouville equation for a qubit system in the presence of…

量子物理 · 物理学 2009-11-07 Doyeol Ahn , Jinhyoung Lee , S. W. Hwang

Dynamics of many-qubit systems, that may correspond to computational processing with quantum systems, can be efficiently and generally approximated by a sequence of two- and single-qubit gates. In practical applications, however, a quantum…

量子物理 · 物理学 2018-12-06 Joonwoo Bae , Tanmay Singal

In this paper, we derived Lorentz covariant quantum Liouville equation for the density operator which describes the relativistic quantum information processing from Tomonaga-Schwinger equation and an exact formal solution for the…

量子物理 · 物理学 2009-11-07 Doyeol Ahn , Hyuk-jae Lee , Sung Woo Hwang

We propose a model based on a generalized effective Hamiltonian for studying the effect of noise in quantum computations. The system-environment interactions are taken into account by including stochastic fluctuating terms in the system…

量子物理 · 物理学 2007-05-23 Y. C. Cheng , R. J. Silbey

We explicitly compute the evolution of the density operator of a two-mode electromagnetic field when the influence of the thermal fluctuation of the vacuum is common for both modes. From this result, we give an example in which the bundle…

量子物理 · 物理学 2009-11-10 Tohya Hiroshima , Osamu Hirota

All quantum systems are subject to noise from the environment or external controls. This noise is a major obstacle to the realization of quantum technology. For example, noise limits the fidelity of quantum gates. Employing optimal control…

量子物理 · 物理学 2024-09-25 Aviv Aroch , Ronnie Kosloff , Shimshon Kallush

We present a monotonic numerical algorithm including time optimization for generating quantum gates for open systems. Such systems are assumed to be governed by Lindblad master equations for the density operators on a large Hilbert-space…

量子物理 · 物理学 2024-04-01 Paulo Sergio Pereira da Silva , Pierre Rouchon

A quantum unitary gate is realized in this paper by perturbing a free charged particle in a one-dimensional box with a time- and position-varying electric field. The perturbed Hamiltonian is composed of a free particle Hamiltonian plus a…

量子物理 · 物理学 2023-04-14 Kumar Gautam

We point out that the quantum dynamical map of an open quantum system can be generated by an effective Liouville operator. The effective Liouville shows the dynamical breaking of time reversibility. This breaking of reversibility is…

量子物理 · 物理学 2017-08-01 Martin Janßen

Repeated closed-loop control operations acting as piecewise-constant Liouville superoperators conditioned on the outcomes of regularly performed measurements may effectively be described by a fixed-point iteration for the density matrix.…

量子物理 · 物理学 2012-06-26 Gernot Schaller

To model printing noise a binary noisy channel and a set of controlled gates are introduced. The channel input is an image created by a halftoning algorithm and its output is the printed picture. Using this channel robustness to noise…

其他计算机科学 · 计算机科学 2015-03-19 V. N. Gorbachev , E. S. Yakovleva

The problem of automatically protecting a quantum system against noise in a closed circuit is analyzed. A general scheme is developed built from two steps. At first, a distillation step is induced in which undesired components are removed…

量子物理 · 物理学 2009-11-11 S. Kallush , R. Kosloff

The quantum data processing inequality asserts that two quantum states become harder to distinguish when a noisy channel is applied. On the other hand, a reverse quantum data processing inequality characterizes whether distinguishability is…

量子物理 · 物理学 2025-11-03 Paula Belzig , Li Gao , Graeme Smith , Peixue Wu

A quantum mechanical system of two coupled rotors (particles constrained to move on a circle) is studied from an open quantum systems point of view. One of the rotors is integrated out and the reduced density operator of the other rotor is…

量子物理 · 物理学 2025-05-21 V V Sreedhar , Ankit Yadav

Quantum dot-based spin qubit realization is one of the most promising quantum computing systems owing to its integrability with classical computation hardware and its versatility in realizing qubits and quantum gates. In this work, we…

量子物理 · 物理学 2024-11-14 Yash Tiwari , Aditya Dev , Vishvendra Singh Poonia

Quantum theory combines density matrices, Born probabilities, tensor-product composites, positive-operator-valued measures (POVMs), and quantum channels. In a finite-dimensional causal operational theory, we prove that two postulates…

量子物理 · 物理学 2026-05-25 Kenji Nakahira

We present a quantum averaging theory (QAT) for analytically modeling unitary gate dynamics in driven quantum systems beyond the rotating-wave approximation. QAT addresses the simultaneous presence of distinct timescales by generating a…

量子物理 · 物理学 2026-01-05 Kristian D. Barajas , Wesley C. Campbell

In this paper, we show how to use low-fidelity operations to control the dynamics of quantum systems. Noisy operations usually drive a system to evolve into a mixed state and damage the coherence. Sometimes frequent noisy operations result…

量子物理 · 物理学 2015-06-12 Ying Li

Using the subdynamical kinetic equation for an open quantum system, a formulation is presented for performing decoherence-free (DF) quantum computing in Rigged Liouville Space (RLS). Three types of interactions were considered, and in each…

量子物理 · 物理学 2007-05-23 Bi Qiao , Harry. E. Ruda , X. H. Zhen
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