Self-restricting Noise and Exponential Relative Entropy Decay Under Unital Quantum Markov Semigroups

A quantum engineer’s guide to superconducting qubits

P. Krantz, M. Kjaergaard, F. Yan, T. P. Orlando, S. Gustavsson, and W. D. Oliver · 1931

Earlier work this paper cites.

On the Adiabatic Theorem of Quantum Mechanics

Tosio Kato · 1950

Earlier work this paper cites.

Conditional expectation in an operator algebra. IV. Entropy and information

Hisaharu Umegaki · 1962

Earlier work this paper cites.

Note on discrimination information and variation (Corresp.)

I. Vajda · 1970

Earlier work this paper cites.

Completely positive maps and entropy inequalities

Göran Lindblad · 1975

Earlier work this paper cites.

On the generators of quantum dynamical semigroups

G. Lindblad · 1976

Earlier work this paper cites.

Completely positive dynamical semigroups of N-level systems

Vittorio Gorini, Andrzej Kossakowski, and E. C. G. Sudarshan · 1976

Earlier work this paper cites.

Generalized Trotter’s formula and systematic approximants of exponential operators and inner derivations with applications to many-body problems

Masuo Suzuki · 1976

Earlier work this paper cites.

The Zeno’s paradox in quantum theory

B. Misra and E. C. G. Sudarshan · 1977

Earlier work this paper cites.

Index for subfactors

V. F. R. Jones · 1983

Earlier work this paper cites.

Entropy and index for subfactors

Mihai Pimsner and Sorin Popa · 1986

Earlier work this paper cites.

Sufficiency of Channels Over Von Neumann Algebras

Dénes Petz · 1988

Earlier work this paper cites.

Divergence measures based on the Shannon entropy

J. Lin · 1991

Earlier work this paper cites.

On logarithmic Sobolev inequalities, Csiszar-Kullback inequalities, and the rate of convergence to equilibrium for Fokker-Planck type equations

Anton Arnold, Peter Markowich, Giuseppe Toscani, and Andreas Unterreiter · 1998

Earlier work this paper cites.

Decoherence-Free Subspaces for Quantum Computation

D. A. Lidar, I. L. Chuang, and K. B. Whaley · 1998

Earlier work this paper cites.

Dynamical suppression of decoherence in two-state quantum systems

Lorenza Viola and Seth Lloyd · 1998

Earlier work this paper cites.

Dynamical Decoupling of Open Quantum Systems

Lorenza Viola, Emanuel Knill, and Seth Lloyd · 1999

Earlier work this paper cites.

Quantum Computing Using Dissipation to Remain in a Decoherence-Free Subspace

Almut Beige, Daniel Braun, Ben Tregenna, and Peter L. Knight · 2000

Earlier work this paper cites.

Modified log-sobolev inequalities, mixing and hypercontractivity

Sergey Bobkov and Prasad Tetali · 2003

Earlier work this paper cites.

Decoherence of quantum Markov semigroups

R Rebolledo · 2004

Earlier work this paper cites.

Correcting quantum errors with the Zeno effect

Noam Erez, Yakir Aharonov, Benni Reznik, and Lev Vaidman · 2004

Earlier work this paper cites.

Quantum error-correcting subsystems are unitarily recoverable subsystems

David W. Kribs and Robert W. Spekkens · 2006

Earlier work this paper cites.

Noncommutative maximal ergodic theorems

Marius Junge and Quanhua Xu · 2007

Earlier work this paper cites.

Superadditivity of communication capacity using entangled inputs

M. B. Hastings · 2009

Earlier work this paper cites.

The multiplicative domain in quantum error correction

Man-Duen Choi, Nathaniel Johnston, and David W Kribs · 2009

Earlier work this paper cites.

Introduction to quantum noise, measurement, and amplification

A. A. Clerk, M. H. Devoret, S. M. Girvin, Florian Marquardt, and R. J. Schoelkopf · 2010

Earlier work this paper cites.

The Decoherence-Free Subalgebra of a Quantum Markov Semigroup with Unbounded Generator

Ameur Dhahri, Franco Fagnola, and Rolando Rebolledo · 2010

Cited alongside, same era.

Generalized multiplicative domains and quantum error correction

Nathaniel Johnston and David Kribs · 2010

Cited alongside, same era.

Quantum logarithmic Sobolev inequalities and rapid mixing

Michael J. Kastoryano and Kristan Temme · 2013

Cited alongside, same era.

Decoherence free subspaces of a quantum Markov semigroup

Julián Agredo, Franco Fagnola, and Rolando Rebolledo · 2014

Cited alongside, same era.

Review of Decoherence-Free Subspaces, Noiseless Subsystems, and Dynamical Decoupling

Daniel A. Lidar · 2014

Cited alongside, same era.

Coherent Quantum Dynamics in Steady-State Manifolds of Strongly Dissipative Systems

Paolo Zanardi and Lorenzo Campos Venuti · 2014

Group Transference Techniques for the Estimation of the Decoherence Times and Capacities of Quantum Markov Semigroups

Ivan Bardet, Marius Junge, Nicholas Laracuente, Cambyse Rouzé, and Daniel Stilck França · 2021

Later among the works it cites.

Limitations of optimization algorithms on noisy quantum devices

Daniel Stilck França and Raul García-Patrón · 2021

Later among the works it cites.

Quantum Zeno Effect in Open Quantum Systems

Simon Becker, Nilanjana Datta, and Robert Salzmann · 2021

Later among the works it cites.

URL https://qiskit.org/ecosystem/dynamics/tutorials/Lindblad_dynamics_simulation.html

Solving the Lindblad dynamics of a qubit chain — Qiskit Dynamics 0.4.2 documentation, 2021 · 2021

Later among the works it cites.

Quantum limit cycles and the Rayleigh and van der Pol oscillators

Lior Ben Arosh, M. C. Cross, and Ron Lifshitz · 2021

Later among the works it cites.