Speed limits on correlations in bipartite quantum systems
arXiv:2207.05645 · doi:10.1103/PhysRevA.107.052419
Abstract
Quantum speed limit is bound on the minimum time a quantum system requires to evolve from an initial state to final state under a given dynamical process. It sheds light on how fast a desired state transformation can take place which is pertinent for design and control of quantum technologies. In this paper, we derive speed limits on correlations such as entanglement, Bell-CHSH correlation, and quantum mutual information of quantum systems evolving under dynamical processes. Our main result is speed limit on an entanglement monotone called negativity which holds for arbitrary dimensional bipartite quantum systems and processes. Another entanglement monotone which we consider is the concurrence. To illustrate efficacy of our speed limits, we analytically and numerically compute the speed limits on the negativity, concurrence, and Bell-CHSH correlation for various quantum processes of practical interest. We are able to show that for practical examples we have considered, some of the speed limits we derived are actually attainable and hence these bounds can be considered to be tight.
arXiv comment18 pages, 11 figures, published in Physical Review A
References in corpus (86)
- Quantum entanglement
- Entanglement of Formation of an Arbitrary State of Two Qubits
- Mixed State Entanglement and Quantum Error Correction
- Separability Criterion for Density Matrices
- A computable measure of entanglement
- Separability of Mixed States: Necessary and Sufficient Conditions
- Quantum Computing
- Purification of Noisy Entanglement and Faithful Teleportation via Noisy Channels
- Experimental loophole-free violation of a Bell inequality using entangled electron spins separated by 1.3 km
- Bell nonlocality
- Peres-Horodecki separability criterion for continuous variable systems
- Quantifying Entanglement
- Entanglement in a simple quantum phase transition
- Entanglement Measures and Purification Procedures
- Open Quantum Systems. An Introduction
- The maximum speed of dynamical evolution
- Universal state inversion and concurrence in arbitrary dimensions
- Quantum Optical Metrology -- The Lowdown on High-N00N States
- On the role of entanglement in quantum computational speed-up
- Quantum speed limits: from Heisenberg's uncertainty principle to optimal quantum control
- Quantum speed limit for physical processes
- Quantum speed limit for non-Markovian dynamics
- Optimal Control at the Quantum Speed Limit
- Quantum speed limits in open system dynamics
- Free randomness can be amplified
- Quantum channels and memory effects
- The fundamental limit on the rate of quantum dynamics: the unified bound is tight
- Open-System Dynamics of Entanglement
- Generalized Geometric Quantum Speed Limits
- System-reservoir dynamics of quantum and classical correlations
- Trade-off between speed and cost in shortcuts to adiabaticity
- Quantum simulation of open-system dynamical maps with trapped ions
- The definition of multipartite nonlocality
- Layered architecture for quantum computing
- Realization of quantum process tomography in NMR
- Energy-time uncertainty relation for driven quantum systems
- Dynamics of initially entangled open quantum systems
- Geometric derivation of the quantum speed limit
- Entanglement capabilities of non-local Hamiltonians
- Quantum Speed Limits Across the Quantum-to-Classical Transition
- Quantum Speed Limit is Not Quantum
- Non-Markovian entanglement dynamics of noisy continuous variable quantum channels
- Direct Characterization of Quantum Dynamics
- Tightening Quantum Speed Limits for Almost All States
- Dissipative dynamics of an open quantum battery
- Quantum Coherence Sets The Quantum Speed Limit For Mixed States
- Ultimate Speed Limits to the Growth of Operator Complexity
- Entanglement rates and area laws
- Unifying Quantum and Classical Speed Limits on Observables
- Precision thermometry and the quantum speed limit
- Speed limits for quantum gates in multi-qubit systems
- The role of entanglement in dynamical evolution
- Quantum Speed Limit For Mixed States Using Experimentally Realizable Metric
- Universal Limitations on Quantum Key Distribution over a Network
- Comment on "Geometric derivation of the quantum speed limit"
- Quantum speed limits and the maximal rate of information production
- On the Connection Between Entanglement and the Speed of Quantum Evolution
- Quantum Speed Limit and optimal evolution time in a two-level system
- Entanglement and the Lower Bounds on the Speed of Quantum Evolution
- Approximate reversibility in the context of entropy gain, information gain, and complete positivity
- Probing Quantum Speed Limits with Ultracold Gases
- A generalization of Margolus-Levitin bound
- Quantum speed limits for information and coherence
- Quantum speed limits and optimal Hamiltonians for driven systems in mixed states
- Reverse Quantum Speed Limit: How Slow Quantum Battery can Discharge?
- Resource speed limits: Maximal rate of resource variation
- Fundamental limits on quantum dynamics based on entropy change
- Quantum Speed Limits for Observables
- Quantum speed limits on operator flows and correlation functions
- From quantum speed limits to energy-efficient quantum gates
- Fundamental limits on the capacities of bipartite quantum interactions
- Performance Evaluation of Adiabatic Quantum Computation via Quantum Speed Limits and Possible Applications to Many-Body Systems
- Entanglement and the Speed of Evolution in Mixed States
- Fundamental Speed Limits to the Generation of Quantumness
- Tight Upper Bound Of The Maximum Speed Of Evolution Of A Quantum State
- Energy-constrained discrimination of unitaries, quantum speed limits and a Gaussian Solovay-Kitaev theorem
- Entanglement and secret-key-agreement capacities of bipartite quantum interactions and read-only memory devices
- Quantum speed limit constraints on a nanoscale autonomous refrigerator
- Physical time-energy cost of a quantum process determines its information fidelity
- Multipartite Bell-type Inequality by Generalizing Wigner's Argument
- Quantum speed limit helps interpret geometric measure of entanglement
- Bounds to unitary evolution
- Time-Energy Measure for Quantum Processes
- Fundamental limitations on the device-independent quantum conference key agreement
- Fundamental Limits on the Speed of Evolution of Quantum States
- Entanglement rates for bipartite open systems
Cited by in corpus (17)
- Generalised quantum speed limit for arbitrary time-continuous evolution
- Stronger speed limit for observables: Tight bound for the capacity of entanglement, the modular Hamiltonian and the charging of a quantum battery
- Quantum Speed Limit in Terms of Coherence Variations
- Fundamental speed limits on entanglement dynamics of bipartite quantum systems
- Quantum speed limit for Kirkwood-Dirac quasiprobabilities
- Quantum Velocity Limits for Multiple Observables: Conservation Laws, Correlations, and Macroscopic Systems
- Entanglement-assisted quantum speedup: Beating local quantum speed limits
- Family of Exact and Inexact Quantum Speed Limits for Completely Positive and Trace-Preserving Dynamics
- Optimal quantum speed for mixed states
- Quantum-imaginarity-based quantum speed limit
- Stronger Quantum Speed Limit For Mixed Quantum States
- A Unifying Quantum Speed Limit For Time-Independent Hamiltonian Evolution
- Generalized Entropic Quantum Speed Limits
- Quantum Speed Limits Based on the Sharma-Mittal Entropy
- Quantum speed limits based on Jensen-Shannon and Jeffreys divergences for general physical processes
- Influence of gravity on the quantum speed limit in neutrino oscillations
- Implementation of multiparticle quantum speed limits on observables