Relation between classical communication capacity and entanglement capability for two-qubit unitary operations
arXiv:quant-ph/0207065 · doi:10.1103/PhysRevA.68.032312
Abstract
Two-qubit operations may be characterized by their capacities for communication, both with and without free entanglement, and their capacity for creating entanglement. We establish a set of inequalities that give an ordering to the capacities of two-qubit unitary operations. Specifically, we show that the capacities for entanglement creation and bidirectional communication without entanglement assistance are at least as great as half the bidirectional communication capacity with entanglement assistance. In addition, we show that the bidirectional communication that can be performed using an ensemble may be increased via a two-qubit unitary operation by twice the operation's capacity for entanglement.
12 pages, published version plus minor corrections
References in corpus (18)
- Concentrating Partial Entanglement by Local Operations
- Quantum Teleportation is a Universal Computational Primitive
- Optimal Creation of Entanglement Using a Two--Qubit Gate
- On the Entangling Power of Quantum Evolutions
- Optimal local implementation of non-local quantum gates
- Nonlocal properties of two-qubit gates and mixed states and optimization of quantum computations
- Optimal Remote State Preparation
- Entangling operations and their implementation using a small amount of entanglement
- Quantum dynamics as a physical resource
- Entanglement capabilities of non-local Hamiltonians
- The non-local content of quantum operations
- Continuity bounds for entanglement
- Characterization of non-local gates
- Optimal Entanglement Generation from Quantum Operations
- Entangling power and operator entanglement in qudit systems
- Entanglement generation and Hamiltonian simulation in Continuous-Variable Systems
- Non-local Operations: Purification, storage, compression, tomography, and probabilistic implementation
- Relations for classical communication capacity and entanglement capability of two-qubit operations
Cited by in corpus (12)
- Coherent Communication of Classical Messages
- Applications of coherent classical communication and the Schur transform to quantum information theory
- The entangling and disentangling power of unitary transformations are unequal
- Two-way quantum communication channels
- Optimal Simulation of a Perfect Entangler
- Lower bounds for communication capacities of two-qudit unitary operations
- Numerical Analysis of the Capacities for Two-Qubit Unitary Operations
- Time reversal and exchange symmetries of unitary gate capacities
- Asymptotic Compressibility of Entanglement and Classical Communication in Distributed Quantum Computation
- Correlation between resource-generating capacities of quantum gates
- A communication-efficient nonlocal measurement with application to communication complexity and bipartite gate capacities
- How much is a quantum controller controlled by the controlled system?