Ultimate entanglement robustness of two-qubit states against general local noises
arXiv:1708.08208 · doi:10.1103/PhysRevA.97.012322
Abstract
We study the problem of optimal preparation of a bipartite entangled state, which remains entangled the longest time under action of local qubit noises. We show that for unital noises such a state is always maximally entangled, whereas for nonunital noises, it is not. We develop a decomposition technique relating nonunital and unital qubit channels, based on which we find the explicit form of the ultimately robust state for general local noises. We illustrate our findings by amplitude damping processes at finite temperature, for which the ultimately robust state remains entangled up to two times longer than conventional maximally entangled states.
arXiv comment9 pages, 3 figures, proof of Proposition 1 is corrected
References in corpus (36)
- Quantum entanglement
- Entanglement of Formation of an Arbitrary State of Two Qubits
- Separability Criterion for Density Matrices
- A computable measure of entanglement
- Separability of Mixed States: Necessary and Sufficient Conditions
- Entanglement of a Pair of Quantum Bits
- Device-independent security of quantum cryptography against collective attacks
- Finite-Time Disentanglement via Spontaneous Emission
- On the volume of the set of mixed entangled states
- Quantum privacy amplification and the security of quantum cryptography over noisy channels
- Sudden Death of Entanglement
- Conditions for a class of entanglement transformations
- General Entanglement Breaking Channels
- Open-System Dynamics of Entanglement
- Entanglement dynamics of two independent qubits in environments with and without memory
- A Factorization Law for Entanglement Decay
- Remote preparation of quantum states
- Qubit Entanglement Breaking Channels
- Manipulating sudden death of entanglement of two-qubit X-states in thermal reservoirs
- Noise-induced finite-time disentanglement in two-atomic system
- Entanglement-annihilating and entanglement-breaking channels
- Local two-qubit entanglement-annihilating channels
- Positivity of linear maps under tensor powers
- Exact dynamics of quantum correlations of two qubits coupled to bosonic baths
- Experimental characterization of entanglement dynamics in noisy channels
- Dissociation and annihilation of multipartite entanglement structure in dissipative quantum dynamics
- Bipartite entanglement-annihilating maps: necessary and sufficient conditions
- Sensitivity of the decay of entanglement of quantum dot spin qubits to the magnetic field
- Entanglement-induced state ordering under local operations
- Dynamics of entanglement of two electron spins interacting with nuclear spin baths in quantum dots
- Absolutely separating quantum maps and channels
- Positive tensor products of qubit maps and n-tensor-stable positive qubit maps
- Entanglement Dynamics in the Presence of Controlled Unital Noise
- PPT-inducing, distillation-prohibiting, and entanglement-binding quantum channels
- A statistical portrait of the entanglement decay of two-qubit memories
- Nonmaximally entangled states can be better for quantum correlation distribution and storage
Cited by in corpus (13)
- Riemannian geometry and automatic differentiation for optimization problems of quantum physics and quantum technologies
- Phase covariant qubit dynamics and divisibility
- Entanglement robustness against particle loss in multiqubit systems
- Quantum informational properties of the Landau-Streater channel
- Effect of incoherent pump on two-mode entanglement in optical parametric generation
- Lower and upper bounds on nonunital qubit channel capacities
- Entanglement robustness in trace decreasing quantum dynamics caused by depolarization and polarization dependent losses
- How Deep the Theory of Quantum Communications Goes: Superadditivity, Superactivation and Causal Activation
- Trace decreasing quantum dynamical maps: Divisibility and entanglement dynamics
- Information-theoretic aspects of the generalized amplitude damping channel
- Optimal one-shot entanglement sharing
- On quantum operations of photon subtraction and photon addition
- Superior resilience of non-Gaussian entanglement against local Gaussian noises