The decoherence-free subalgebra of a quantum Markov semigroup with unbounded generator
Let be a quantum Markov semigroup on with a faithful normal invariant state ρ. The
decoherence-free subalgebra of is the biggest subalgebra of where the completely positive …
decoherence-free subalgebra of is the biggest subalgebra of where the completely positive …
Approximation and limit theorems for quantum stochastic models with unbounded coefficients
L Bouten, R van Handel, A Silberfarb - Journal of Functional Analysis, 2008 - Elsevier
We prove a limit theorem for quantum stochastic differential equations with unbounded
coefficients which extends the Trotter–Kato theorem for contraction semigroups. From this …
coefficients which extends the Trotter–Kato theorem for contraction semigroups. From this …
Quantum filtering for systems driven by fields in single photon states and superposition of coherent states using non-Markovian embeddings
The purpose of this paper is to determine quantum master and filter equations for systems
coupled to fields in certain non-classical continuous-mode states. Specifically, we consider …
coupled to fields in certain non-classical continuous-mode states. Specifically, we consider …
[图书][B] Quantum stochastic processes and noncommutative geometry
KB Sinha, D Goswami - 2007 - books.google.com
The classical theory of stochastic processes has important applications arising from the
need to describe irreversible evolutions in classical mechanics; analogously quantum …
need to describe irreversible evolutions in classical mechanics; analogously quantum …
[图书][B] Quantum stochastics
MH Chang - 2015 - books.google.com
The classical probability theory initiated by Kolmogorov and its quantum counterpart,
pioneered by von Neumann, were created at about the same time in the 1930s, but …
pioneered by von Neumann, were created at about the same time in the 1930s, but …
Stochastic Schrödinger equations and applications to Ehrenfest-type theorems
We study stochastic evolution equations describing the dynamics of open quantum systems.
First, using resolvent approximations, we obtain a sufficient condition for regularity of …
First, using resolvent approximations, we obtain a sufficient condition for regularity of …
Single photon quantum filtering using non-Markovian embeddings
We determine quantum master and filter equations for continuous measurement of systems
coupled to input fields in certain non-classical continuous-mode states, specifically single …
coupled to input fields in certain non-classical continuous-mode states, specifically single …
Quantum stochastic analysis–an introduction
JM Lindsay - Quantum independent increment processes I: From …, 2005 - Springer
By quantum stochastic analysis is meant the analysis arising from the natural operator
filtration of a symmetric Fock space over a Hilbert space of squareintegrable vector-valued …
filtration of a symmetric Fock space over a Hilbert space of squareintegrable vector-valued …
Interacting stochastic Schrödinger equation
L Zhang, C Wang, J Chen - Mathematics, 2023 - mdpi.com
Being the annihilation and creation operators on the space h of square integrable Bernoulli
functionals, quantum Bernoulli noises (QBN) satisfy the canonical anti-commutation relation …
functionals, quantum Bernoulli noises (QBN) satisfy the canonical anti-commutation relation …
Quantum continuous measurements: The stochastic Schrödinger equations and the spectrum of the output
A Barchielli, M Gregoratti - Quantum Measurements and Quantum …, 2013 - degruyter.com
The stochastic Schrödinger equation, of classical or quantum type, allows to describe open
quantum systems under measurement in continuous time. In this paper we review the link …
quantum systems under measurement in continuous time. In this paper we review the link …