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Entanglement Theory Quantum Correlations

Multi-partite entanglement monotones

arXiv
Authors: Abhijit Gadde, Shraiyance Jain, Harshal Kulkarni

Year

2024

Paper ID

66109

Status

Preprint

Abstract Read

~2 min

Abstract Words

106

Citations

N/A

Abstract

If we want to transform the quantum state of a system to another using local measurement processes, what is the probability of success? This probability is bounded by quantifying entanglement in both the states. In this paper, we construct a family of local unitary invariants of multipartite states that are monotonic under local operations and classical communication on average. These monotones are constructed from local unitary invariant polynomials of the state and its conjugate, and hence are easy to compute for pure states. Using these measures we bound the success probability of transforming a given state into another state using local quantum operations and classical communication.

Why This Paper Matters

  • This paper contributes to the Entanglement Theory & Quantum Correlations research area in the Quantum Articles archive.
  • It adds a 2024 reference point for readers tracking recent quantum research.
  • If we want to transform the quantum state of a system to another using local measurement processes, what is the probability of success?

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2406.17447 [2] arXiv https://arxiv.org/abs/2406.17447 [3] Publisher https://arxiv.org/abs/2406.17447

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