Correlations and projective measurements in maximally entangled multipartite states
arXiv:2304.10944 · doi:10.1016/j.aop.2023.169406
Abstract
Multipartite quantum states constitute the key resource for quantum computation. The understanding of their internal structure is thus of great importance in the field of quantum information. This paper aims at examining the structure of multipartite maximally entangled pure states, using tools with a simple and intuitive physical meaning, namely, projective measurements and correlations. We first show how, in such states, a very simple relation arises between post-measurement expectation values and pre-measurement correlations. We then infer the consequences of this relation on the structure of the recently introduced \textit{entanglement metric}, allowing us to provide an upper bound for the \textit{persistency of entanglement}. The dependence of these features on the chosen measurement axis is underlined, and two simple optimization procedures are proposed, to find those maximizing the correlations. Finally, we apply our procedures onto some prototypical examples.
References in corpus (13)
- Quantum entanglement
- Entanglement detection
- Persistent entanglement in arrays of interacting particles
- Measurement-based quantum computation with cluster states
- Thermodynamics and the Measure of Entanglement
- Cluster-state quantum computation
- Universal quantum computation using only projective measurement, quantum memory, and preparation of the 0 state
- Six-qubit permutation-based decoherence-free orthogonal basis
- Supersinglets
- Entanglement in macroscopic systems
- Entanglement and Quantum Correlation Measures from a Minimum Distance Principle
- Entanglement distance for an arbitrary state of M qubits
- Entanglement distance for arbitrary -qudit hybrid systems
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