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Recent experimental progress in controlling open quantum systems enables the pursuit of mixed-state nonequilibrium quantum phases. We investigate whether open quantum systems hosting mixed-state symmetry-protected topological states as…

The Lindblad master equation is one of the main approaches to open quantum systems. While it has been widely applied in the context of condensed matter systems to study properties of steady states in the limit of long times, the actual…

Statistical Mechanics · Physics 2023-08-07 Tjark Heitmann , Jonas Richter , Jacek Herbrych , Jochen Gemmer , Robin Steinigeweg

Highly entangled states called cluster states are a universal resource for measurement-based quantum computing (QC). Here we propose an efficient method for producing large cluster states using superconducting quantum circuits. We show that…

Quantum Physics · Physics 2009-11-13 J. Q. You , Xiang-bin Wang , Tetsufumi Tanamoto , Franco Nori

Open quantum systems provide an essential theoretical basis for the development of novel quantum technologies, since any real quantum system inevitably interacts with its environment. Lindblad master equations capture the effect of…

Quantum Physics · Physics 2022-12-14 Gary Schmiedinghoff , Götz S. Uhrig

The Lindblad equation, as one approach to open quantum systems, describes the density matrix of a particle or a chain of interacting particles, which are in contact with a thermal bath. Still, it is not fully understood yet, how arbitrary…

Nuclear Theory · Physics 2025-03-13 Jan Rais , Hendrik van Hees , Carsten Greiner

A cluster state is a strongly entangled state, which is a source of measurement-based quantum computation. It is generated by applying controlled-Z (CZ) gates to the state $\left\vert ++\cdots +\right\rangle $. It is protected by the…

Quantum Physics · Physics 2026-02-25 Motohiko Ezawa

We consider an optomechanical quantum system composed of a single cavity mode interacting with N mechanical resonators. We propose a scheme for generating continuous-variable graph states of arbitrary size and shape, including the so-called…

Quantum Physics · Physics 2016-01-05 O. Houhou , H. Aissaoui , A. Ferraro

We propose a method to adiabatically control an atomic ensemble using a decoherence-free subspace (DFS) within a dissipative cavity. We can engineer a specific eigenstate of the system's Lindblad jump operators by injecting a field into the…

Quantum Physics · Physics 2022-08-04 Jarrod T. Reilly , Simon B. Jäger , John Cooper , Murray J. Holland

Accurate and efficient quantum control in the presence of constraints and decoherence is a requirement and a challenge in quantum information processing. Shortcuts to adiabaticity, originally proposed to speed up slow adiabatic process,…

We propose an efficient scheme for constructing arbitrary 2-D cluster states using probabilistic entangling quantum gates.In our scheme, the 2-D cluster state is constructed with star-like basic units generated from 1-D cluster chains.By…

Quantum Physics · Physics 2007-05-23 Qing Chen , Jianhua Cheng , Ke-Lin Wang , Jiangfeng Du

The common spin Hamiltonians such as the Ising, XY, or Heisenberg model do not have ground states that are the graph states needed in measurement-based quantum computation. Various highly-entangled many-body states have been suggested as a…

Strongly Correlated Electrons · Physics 2013-12-03 Tetsufumi Tanamoto , Daniel Becker , Vladimir M. Stojanović , Christoph Bruder

The Lindblad master equation is a fundamental tool for describing the evolution of open quantum systems, but its computational complexity poses a significant challenge, especially for large systems. This article introduces a stochastic…

Quantum Physics · Physics 2025-04-04 Sayak Adhikari , Roi Baer

Recently a scheme has been proposed for constructing quantum error-correcting codes that embed a finite-dimensional code space in the infinite-dimensional Hilbert space of a system described by continuous quantum variables. One of the…

Quantum Physics · Physics 2009-11-07 B. C. Travaglione , G. J. Milburn

Despite their fundamental importance in dictating the quantum mechanical properties of a system, ground states of many-body local quantum Hamiltonians form a set of measure zero in the many-body Hilbert space. Hence determining whether a…

Disordered Systems and Neural Networks · Physics 2021-06-23 Michael Matty , Yi Zhang , T. Senthil , Eun-Ah Kim

We propose a practical scheme for one-way quantum computing based on efficient generation of 2D cluster state in thermal cavities. We achieve a controlled-phase gate that is neither sensitive to cavity decay nor to thermal field by adding a…

Quantum Physics · Physics 2011-02-09 Wen-Xing Yang , Zhe-Xuan Gong

State preparation is a cornerstone of quantum technologies, underpinning applications in computation, communication, and sensing. Its importance becomes even more pronounced in non-Markovian open quantum systems, where environmental memory…

Quantum Physics · Physics 2026-05-29 Ritik Sareen , Akram Youssry , Alberto Peruzzo

Inverse design of a property that depends on the steady-state of an open quantum system is commonly done by grid-search type of methods. In this paper we present a new methodology that allows us to compute the gradient of the steady-state…

Quantum Physics · Physics 2020-11-26 Rodrigo A. Vargas-Hernández , Ricky T. Q. Chen , Kenneth A. Jung , Paul Brumer

Based on recent work on the asymptotic behavior of controlled quantum Markovian dynamics, we show that any generic quantum state can be stabilized by devising constructively a simple Lindblad-GKS generator that can achieve global asymptotic…

Quantum Physics · Physics 2010-12-21 Francesco Ticozzi , Sophie G. Schirmer , Xiaoting Wang

We investigate the computational power of creating steady-states of quantum dissipative systems whose evolution is governed by time-independent and local couplings to a memoryless environment. We show that such a model allows for efficient…

Quantum Physics · Physics 2009-09-24 Frank Verstraete , Michael M. Wolf , J. Ignacio Cirac

We present a new scheme for cluster states generation based on atomic ensembles and the dipole blockade mechanism. The protocol requires identical single photon sources, one ensemble per physical qubit, and regular photodetectors. The…

Quantum Physics · Physics 2013-05-29 Marcin Zwierz , Pieter Kok