Correlation between resource-generating capacities of quantum gates
arXiv:2110.13839 · doi:10.1103/PhysRevA.107.032406
Abstract
We analyze the optimal basis for generating the maximum relative entropy of quantum coherence by an arbitrary gate on a two-qubit system. The optimal basis is not unique, and the high quantum coherence generating gates are also typically high entanglement generating ones and vice versa. However, the profile of the relative frequencies of Haar random unitaries generating different amounts of entanglement for a fixed amount of quantum coherence is different from the one in which the roles of entanglement and quantum coherence are reversed, although both follow the beta distribution.
15 pages, 7 figures
References in corpus (12)
- Entanglement detection
- Measuring Quantum Coherence with Entanglement
- Security in Quantum Cryptography
- A computable measure of nonclassicality for light
- A Factorization Law for Entanglement Decay
- Kind of entanglement that speeds up quantum evolution
- Indistinguishability-enabled coherence for quantum metrology
- Relation between classical communication capacity and entanglement capability for two-qubit unitary operations
- Equilibrium and dynamical phase transitions in fully connected quantum Ising model: Approximate energy eigenstates and critical time
- Resource theory of quantum coherence with probabilistically non-distinguishable pointers and corresponding wave-particle duality
- On the distribution of entanglement changes produced by unitary operations
- All entangled states are quantum coherent with locally distinguishable bases