Entanglement Generation of Nearly-Random Operators

Abstract

We study the entanglement generation of operators whose statistical properties approach those of random matrices but are restricted in some way. These include interpolating ensemble matrices, where the interval of the independent random parameters are restricted, pseudo-random operators, where there are far fewer random parameters than required for random matrices, and quantum chaotic evolution. Restricting randomness in different ways allows us to probe connections between entanglement and randomness. We comment on which properties affect entanglement generation and discuss ways of efficiently producing random states on a quantum computer.

5 pages, 3 figures, partially supersedes quant-ph/0405053

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• Quantum Chaos, Delocalization, and Entanglement in Disordered Heisenberg Models
• Nonlocality and entanglement in qubit systems
• Entanglement of random vectors
• Distribution of bipartite entanglement for random pure states
• Optimal two-qubit gate for generation of random bipartite entanglement
• Entanglement in random pure states: Spectral density and average von Neumann entropy
• Parameters of Pseudo-Random Quantum Circuits
• Relaxation due to random collisions with a many-qudit environment
• Entanglement dynamics and relaxation in a few qubit system interacting with random collisions
• Entanglement of localized states
• A genuine maximally seven-qubit entangled state
• Quantum pseudo-randomness from cluster-state quantum computation
• Detecting entanglement of random states with an entanglement witness
• Extracting work from random collisions: A model of a quantum heat engine
• Matrix Element Distribution as a Signature of Entanglement Generation
• Generalized Entanglement as a Natural Framework for Exploring Quantum Chaos
• Formation of Multipartite Entanglement Using Random Quantum Gates
• Phase transitions of the Dicke model: a unified perspective
• Entangling power of baker's map: Role of symmetries
• The role of chaos in quantum communication through a dynamical dephasing channel
• Robust and efficient generator of almost maximal multipartite entanglement
• Intermediate quantum maps for quantum computation
• Structural change in multipartite entanglement sharing: a random matrix approach
• Correcting Coherent Errors by Random Operation on Actual Quantum Hardware
• Quantum circuit for three-qubit random states
• Some Entanglement Features of Highly Entangled Multiqubit States
• Generation of Pseudo-Random Quantum States on Actual Quantum Processors
• Efficient generation of random multipartite entangled states using time optimal unitary operations
• Pseudo-Random Circuits from Clifford Plus T-Gates
• Signature candidate of quantum chaos far from the semiclassical regime
• Entanglement and localization of wavefunctions