The Transfer of Entanglement Negativity at the Onset of Interactions
arXiv:2209.03976 · doi:10.1088/1751-8121/aca7a1
Abstract
Quantum information, in the form of entanglement with an ancilla, can be transmitted to a third system through interaction. Here, we investigate this process of entanglement transmission perturbatively in time. Using the entanglement monotone negativity, we determine how the proclivity of an interaction to either generate, transfer or lose entanglement depends on the choice of Hamiltonians and initial states. These three proclivities are captured by Hamiltonian- and state-dependent quantities that we call negativity susceptibility, negativity transmissibility and negativity vulnerability respectively. These notions could serve, for example, as cost functions in quantum technologies such as machine-learned quantum error correction.
References in corpus (37)
- Entanglement of Formation of an Arbitrary State of Two Qubits
- Separability Criterion for Density Matrices
- A computable measure of entanglement
- Quantum sensing
- Separability of Mixed States: Necessary and Sufficient Conditions
- Introducing Quantum Discord
- Quantum Computing
- On the volume of the set of mixed entangled states
- Sudden Death of Entanglement
- The capacity of the noisy quantum channel
- Entanglement monotones
- Single-Ion Atomic Clock with Systematic Uncertainty
- Quantum control theory and applications: A survey
- Largest separable balls around the maximally mixed bipartite quantum state
- The problem with the geometric discord
- On the volume of the set of mixed entangled states II
- Mapping the optimal route between two quantum states
- Cavity State Manipulation Using Photon-Number Selective Phase Gates
- Partial Teleportation of Entanglement in the Noisy Environment
- Digitization of Scalar Fields for Quantum Computing
- Optimizing Quantum Error Correction Codes with Reinforcement Learning
- Realization of Universal Ion Trap Quantum Computation with Decoherence Free Qubits
- Generalization of Quantum Error Correction via the Heisenberg Picture
- Quantum entanglement in random physical states
- Quantum Error Correction of Observables
- Error correction in quantum cryptography based on artificial neural networks
- Tripartite entanglement: Foundations and applications
- Experimental detection of quantum channel capacities
- Machine Learning for Continuous Quantum Error Correction on Superconducting Qubits
- Entanglement and deterministic quantum computing with one qubit
- Quantum error correction on infinite-dimensional Hilbert spaces
- Entanglement without nonlocality
- Perturbative expansion of entanglement negativity using patterned matrix calculus
- A Convexity Result in the Spectral Geometry of Conformally Equivalent Metrics on Surfaces
- Purified discord and multipartite entanglement
- The Dynamics of Entropies at the Onset of Interactions
- Transmission of coherent information at the onset of interactions