A quantum stochastic Lie-Trotter product formula
J. Martin Lindsay, Kalyan B. Sinha
TL;DR
This paper establishes a quantum stochastic Lie-Trotter product formula for unitary quantum stochastic processes described by differential equations with constant bounded coefficients, advancing mathematical tools for quantum stochastic analysis.
Contribution
It introduces a new Trotter product formula specifically for quantum stochastic processes governed by differential equations with bounded coefficients.
Findings
Proves the validity of the quantum stochastic Lie-Trotter product formula.
Provides mathematical framework for combining quantum stochastic processes.
Enhances understanding of quantum stochastic differential equations.
Abstract
A Trotter product formula is established for unitary quantum stochastic processes governed by quantum stochastic differential equations with constant bounded coefficients.
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Taxonomy
TopicsQuantum Information and Cryptography · Quantum Mechanics and Applications · Cold Atom Physics and Bose-Einstein Condensates