Quantum process inference for a single qubit Maxwell's demon
arXiv:2102.01089 · doi:10.1103/PhysRevA.104.022211
Abstract
While quantum measurement theories are built around density matrices and observables, the laws of thermodynamics are based on processes such as are used in heat engines and refrigerators. The study of quantum thermodynamics fuses these two distinct paradigms. In this article, we highlight the usage of quantum process matrices as a unified language for describing thermodynamic processes in the quantum regime. We experimentally demonstrate this in the context of a quantum Maxwell's demon, where two major quantities are commonly investigated; the average work extraction and the efficacy which measures how efficiently the feedback operation uses the obtained information. Using the tool of quantum process matrices, we develop the optimal feedback protocols for these two quantities and experimentally investigate them in a superconducting circuit QED setup.
arXiv comment11 pages, 5 figures
References in corpus (49)
- A nonequilibrium equality for free energy differences
- Circuit Quantum Electrodynamics: Coherent Coupling of a Single Photon to a Cooper Pair Box
- Charge insensitive qubit design derived from the Cooper pair box
- Equilibrium free energy differences from nonequilibrium measurements: a master equation approach
- Colloquium. Quantum Fluctuation Relations: Foundations and Applications
- Observation of high coherence in Josephson junction qubits measured in a three-dimensional circuit QED architecture
- Information heat engine: converting information to energy by feedback control
- Universal dynamical decoupling of a single solid-state spin from a spin bath
- Fluctuation theorems: Work is not an observable
- The Physics of Maxwell's demon and information
- Generalized Jarzynski Equality under Nonequilibrium Feedback Control
- A simple all-microwave entangling gate for fixed-frequency superconducting qubits
- Second Law of Thermodynamics with Discrete Quantum Feedback Control
- Experimental realization of a Szilard engine with a single electron
- Observing single quantum trajectories of a superconducting qubit
- Ancilla-assisted quantum process tomography
- Experimental study of mutual information in a Maxwell Demon
- Quantum trajectory approach to circuit QED: Quantum jumps and the Zeno effect
- Quantum back-action of variable-strength measurement
- Observing a quantum Maxwell demon at work
- Mapping the optimal route between two quantum states
- Realization of quantum process tomography in NMR
- Universal features in the energetics of symmetry breaking
- Process tomography of ion trap quantum gates
- Photonic Maxwell's demon
- Experimental rectification of entropy production by a Maxwell's Demon in a quantum system
- An omniscient Maxwell's demon
- Information-to-work conversion by Maxwell's demon in a superconducting circuit-QED system
- Information gain and loss for a quantum Maxwell's demon
- Quantum Operation Time Reversal
- Optimal work extraction and thermodynamics of quantum measurements and correlations
- Thermodynamics of genuine non-equilibrium states under feedback control
- A CNOT gate between multiphoton qubits encoded in two cavities
- Quantum process tomography of two-qubit controlled-Z and controlled-NOT gates using superconducting phase qubits
- Generalized detailed Fluctuation Theorem under Nonequilibrium Feedback control
- Prediction and retrodiction for a continuously monitored superconducting qubit
- Thermodynamic uncertainty relations including measurement and feedback
- Designing optimal discrete-feedback thermodynamic engines
- Lossless Brownian information engine
- Thermodynamics of Gambling Demons
- Integral Quantum Fluctuation Theorems under Measurement and Feedback control
- Fluctuation theorems in presence of information gain and feedback
- Autonomous conversion of information to work in quantum dots
- Experimental entanglement-enhanced work extraction based on a Maxwell's demon
- Detailed Fluctuation Relation for Arbitrary Measurement and Feedback Schemes
- Correlations of the time dependent signal and the state of a continuously monitored quantum system
- Autonomous Maxwell's demon in a cavity QED system
- Maxwell's demon in a double quantum dot with continuous charge detection
- A bound on the mutual information, and properties of entropy reduction, for quantum channels with inefficient measurements
Cited by in corpus (5)
- Propagating Quantum Microwaves: Towards Applications in Communication and Sensing
- Autonomous dissipative Maxwell's demon in a diamond spin qutrit
- On-demand driven dissipation for cavity reset and cooling
- Agnostic Phase Estimation
- Constraining work fluctuations of non-Hermitian dynamics across the exceptional point of a superconducting qubit