Degree of Quantumness in Quantum Synchronization
arXiv:1705.04614 · doi:10.1038/s41598-019-56468-x
Abstract
We introduce the concept of degree of quantumness in quantum synchronization, a measure of the quantum nature of synchronization in quantum systems. Following techniques from quantum information, we propose the number of non-commuting observables that synchronize as a measure of quantumness. This figure of merit is compatible with already existing synchronization measurements, and it captures different physical properties. We illustrate it in a quantum system consisting of two weakly interacting cavity-qubit systems, which are coupled via the exchange of bosonic excitations between the cavities. Moreover, we study the synchronization of the expectation values of the Pauli operators and we propose a feasible superconducting circuit setup. Finally, we discuss the degree of quantumness in the synchronization between two quantum van der Pol oscillators.
References in corpus (36)
- Charge insensitive qubit design derived from the Cooper pair box
- Observation of high coherence in Josephson junction qubits measured in a three-dimensional circuit QED architecture
- Superconducting qubit in waveguide cavity with coherence time approaching 0.1ms
- Quantum synchronization of quantum van der Pol oscillators with trapped ions
- Measures of quantum synchronization in continuous variable systems
- Single-shot qubit readout in circuit Quantum Electrodynamics
- Single-shot qubit readout in circuit Quantum Electrodynamics
- Quantum synchronization of a driven self-sustained oscillator
- Entanglement tongue and quantum synchronization of disordered oscillators
- Dynamical Casimir effect entangles artificial atoms
- Synchronization, quantum correlations and entanglement in oscillator networks
- Quantum correlations and mutual synchronization
- Mutual information as an order parameter for quantum synchronization
- Spin Correlations as a Probe of Quantum Synchronization in Trapped Ion Phonon-Lasers
- A quantum version of Wielandt's inequality
- Spontaneous synchronization and quantum correlation dynamics of open spin systems
- Quantum Stochastic Synchronization
- Synchronization and bistability of qubit coupled to a driven dissipative oscillator
- Control of synchronization patterns in neural-like Boolean networks
- Simple Quantum Key Distribution with qubit-based synchronization and a self-compensating polarization encoder
- Quantum synchronization and entanglement of two qubits coupled to a driven dissipative resonator
- Quantum Synchronisation Enabled by Dynamical Symmetries and Dissipation
- Generalized coherent states for SU(n) systems
- Quantum synchronization as a local signature of super- and subradiance
- Quantum synchronization in dimer atomic lattices
- Probing the spectral density of a dissipative qubit via quantum synchronization
- Quantum synchronization
- Quantum correlations and synchronization measures
- Optimal synchronization deep in the quantum regime: resource and fundamental limit
- Synchronization in two-level quantum systems
- Quantifying the Nonclassicality of Operations
- Approaching ultra-strong coupling in Transmon circuit-QED using a high-impedance resonator
- Biomimetic Cloning of Quantum Observables
- Synchronization of micromasers
- Enhanced Quantum Synchronization via Quantum Machine Learning
- Cloning of observables
Cited by in corpus (17)
- Algebraic Theory of Quantum Synchronization and Limit Cycles under Dissipation
- Synchronization in two-level quantum systems
- Observing Quantum Synchronization of a Single Trapped-Ion Qubit
- Bath-induced collective phenomena on superconducting qubits: synchronization, subradiance, and entanglement generation
- Synchronisation phase as an indicator of persistent quantum correlations between subsystems
- Macroscopic quantum synchronization effects
- Cooperation and Competition in Synchronous Open Quantum Systems
- Quantum Effects on the Synchronization Dynamics of the Kuramoto Model
- Classical-driving-assisted quantum synchronization in non-Markovian environments
- Quantum asymptotic phase reveals signatures of quantum synchronization
- Fisher information as general metrics of quantum synchronization
- Bargmann representation of quantum absorption refrigerators
- Exact steady state of quantum van der Pol oscillator: critical phenomena and enhanced metrology
- Non-stationarity and Dissipative Time Crystals: Spectral Properties and Finite-Size Effects
- Dynamical control in a prethermalized molecular ultracold plasma: Local dissipation drives global relaxation
- Quantum synchronization of qubits via dynamical Casimir effect
- Quantum spin van der Pol oscillator -- a spin-based limit-cycle oscillator exhibiting quantum synchronization