Perfect quantum-state synchronization
arXiv:2103.02031 · doi:10.1103/PhysRevA.104.012410
Abstract
We investigate the most general mechanisms that lead to perfect synchronization of the quantum states of all subsystems of an open quantum system starting from an arbitrary initial state. We provide a necessary and sufficient condition for such "quantum-state synchronization", prove tight lower bounds on the dimension of the environment's Hilbert space in two main classes of quantum-state synchronizers, and give an analytical solution for their construction. The functioning of the found quantum-state synchronizer of two qubits is demonstrated experimentally on an IBM quantum computer and we show that the remaining asynchronicity is a sensitive measure of the quantum computer's imperfection.
arXiv comment10 pages, 4 figures
References in corpus (26)
- Optimal Quantum Cloning Machines
- Noncommuting mixed states cannot be broadcast
- Collective dynamics in optomechanical arrays
- Quantum many-body dynamics in optomechanical arrays
- Quantum synchronization of a driven self-sustained oscillator
- Efficient Quantum Circuits for Schur and Clebsch-Gordan Transforms
- Synchronization, quantum correlations and entanglement in oscillator networks
- Quantum synchronization of two Van der Pol oscillators
- Quantum synchronization and entanglement generation
- Quantum correlations and mutual synchronization
- Squeezing Enhances Quantum Synchronization
- Synchronizing the Smallest Possible System
- Algebraic Theory of Quantum Synchronization and Limit Cycles under Dissipation
- Spontaneous synchronization and quantum correlation dynamics of open spin systems
- Synchronization and bistability of qubit coupled to a driven dissipative oscillator
- Classicality of spin states
- Quantum synchronization and entanglement of two qubits coupled to a driven dissipative resonator
- Quantum Synchronization on the IBM Q System
- Quantum Synchronisation in Nanoscale Heat Engines
- Synchronization and Stability for Quantum Kuramoto
- Semiclassical Phase Reduction Theory for Quantum Synchronization
- Bath-induced collective phenomena on superconducting qubits: synchronization, subradiance, and entanglement generation
- Selfcomplementary quantum channels
- Quantum-phase synchronization
- Trade--off relations for operation entropy of complementary quantum channels
- An Efficient Quantum Algorithm and Circuit to Generate Eigenstates of SU(2) and SU(3) Representations
Cited by in corpus (5)
- Algebraic Theory of Quantum Synchronization and Limit Cycles under Dissipation
- Steady-state squeezing transfer in hybrid optomechanics
- Lie Algebraic Quantum Phase Reduction
- Transfer of quantum states and stationary quantum correlations in a hybrid optomechanical network
- Characterizing quantum synchronization in the van der Pol oscillator via tomogram and photon correlation