Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:1111.6229 · Pramana

Quantum Jarzynski equality with multiple measurement and feedback for isolated system

Shubhashis Rana, Sourabh Lahiri, A. M. Jayannavar

Published Jul 25, 2012• 9 citations
arXivHTMLPDF
DOI
10.1007/s12043-012-0304-7

Related papers

Experimental test of the quantum Jarzynski equality with a trapped-ion system

Shuoming An, Jing-Ning Zhang, Mark Um +6 more

arXiv:1409.4485•Nature Physics•Dec 22, 2014•386 citations

Experimental Test of Quantum Jarzynski Equality with a Trapped Ion

Shuoming An, Mark Um, Dingshun Lv +6 more

Bulletin of the American Physical Society•Jun 4, 2014•0 citations

Quantum-trajectory thermodynamics with discrete feedback control

Zongping Gong, Yuto Ashida, Masahito Ueda

We employ the quantum-jump-trajectory approach to construct a systematic framework to study the thermodynamics at the trajectory level in a nonequilibrium open quantum system under discrete feedback control. Within this framework, we derive quantum versions of the generalized Jarzynski equalities, which are demonstrated in an isolated pseudospin system and a coherently driven two-level open quantum system. Due to quantum coherence and measurement backaction, a fundamental distinction from the classical generalized Jarzynski equalities emerges in the quantum versions, which is characterized by a large negative information gain reflecting genuinely quantum rare events. A possible experimental scheme to test our findings in superconducting qubits is discussed.

arXiv:1602.04616•Physical Review A•Jul 8, 2016•44 citations

Jarzynski Equality Modified in the Linear Feedback System

Youhei Fujitani, Hiroyuki Suzuki

It is known that one can derive the Jarzynski equality in a stochastic process of a classical system by assuming the local detailed balance. We study how the equality is modified in the linear feedback system. There, measurement is performed on the state following a linear Langevin equation, the measured variable is linear to the state variable with white sensor noise, the Kalman filter estimates the state by utilizing measured values in the past, and a linear regulator controls the state dynamics. Although a stochastic process produced by this dynamics is non-Markovian because of the feedback loop, it is known in the control theory that a Markov process for the estimation can be separated from the whole process. To the exponent in the Jarzynski equality, we find an additional term, whose average gives the mutual information between state variables and measured variables in the Markov process for the estimation. The resultant equality holds whether the gain is optimal or not.

Journal of the Physical Society of Japan•Oct 12, 2010•45 citations

THE QUANTUM MECHANICS OF ISOLATED SYSTEMS

Bryce Seligman DeWitt

International Journal of Modern Physics A•May 10, 1998•14 citations

Failure of the Jarzynski identity for a simple quantum system

Alexander Engel, Roeland J. M. Nolte

•Dec 20, 2006•2 citations
We employ the quantum-jump-trajectory approach to construct a systematic framework to study the thermodynamics at the trajectory level in a nonequilibrium open quantum system under discrete feedback control. Within this framework, we derive quantum versions of the generalized Jarzynski equalities, which are demonstrated in an isolated pseudospin system and a coherently driven two-level open quantum system. Due to quantum coherence and measurement backaction, a fundamental distinction from the classical generalized Jarzynski equalities emerges in the quantum versions, which is characterized by a large negative information gain reflecting genuinely quantum rare events. A possible experimental scheme to test our findings in superconducting qubits is discussed.
It is known that one can derive the Jarzynski equality in a stochastic process of a classical system by assuming the local detailed balance. We study how the equality is modified in the linear feedback system. There, measurement is performed on the state following a linear Langevin equation, the measured variable is linear to the state variable with white sensor noise, the Kalman filter estimates the state by utilizing measured values in the past, and a linear regulator controls the state dynamics. Although a stochastic process produced by this dynamics is non-Markovian because of the feedback loop, it is known in the control theory that a Markov process for the estimation can be separated from the whole process. To the exponent in the Jarzynski equality, we find an additional term, whose average gives the mutual information between state variables and measured variables in the Markov process for the estimation. The resultant equality holds whether the gain is optimal or not.