On the unraveling of open quantum dynamics
- URL: http://arxiv.org/abs/2309.13408v1
- Date: Sat, 23 Sep 2023 15:42:33 GMT
- Title: On the unraveling of open quantum dynamics
- Authors: Brecht I. C Donvil and Paolo Muratore-Ginanneschi
- Abstract summary: We show that the dynamics of an open quantum system generically admits an unraveling in the Hilbert space of the system.
We derive the state-of-the-art form of the Di'osi-Gisin-Strunz random ostensible state equation in the context of a model problem.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: It is well known that the state operator of an open quantum system can be
generically represented as the solution of a time-local equation -- a quantum
master equation.
Unraveling in quantum trajectories offers a picture of open system dynamics
dual to solving master equations. In the unraveling picture, physical
indicators are computed as Monte-Carlo averages over a stochastic process
valued in the Hilbert space of the system. This approach is particularly
adapted to simulate systems in large Hilbert spaces. %Drawing from our recent
[Nat Commun 13, 4140 (2022)].
We show that the dynamics of an open quantum system generically admits an
unraveling in the Hilbert space of the system described by a Markov process
generated by ordinary stochastic differential equations for which rigorous
concentration estimates are available. The unraveling can be equivalently
formulated in terms of norm-preserving state vectors or in terms of linear
\textquotedblleft ostensible\textquotedblright\ processes trace preserving only
on average. We illustrate the results in the case of a two level system in a
simple boson environment.
Next, we derive the state-of-the-art form of the Di\'osi-Gisin-Strunz
Gaussian random ostensible state equation in the context of a model problem.
This equation provides an exact unraveling of open systems in Gaussian
environments. We compare and contrast the two unravelings and their potential
for applications to quantum error mitigation.
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