Measurement and feedforward induced entanglement negativity transition
arXiv:2310.18305 · doi:10.1103/PhysRevLett.133.050402
Abstract
We study the interplay between measurement-induced dynamics and conditional unitary evolution in quantum systems. We numerically and analytically investigate commuting random measurement and feedforward (MFF) processes, and find a sharp transition in their ability to generate entanglement negativity as the number of MFF channels varies. We also establish a direct connection between these findings and transitions induced by random dephasing from an environment with broken time-reversal symmetry. In one variant of the problem, we employ free probability theory to rigorously prove the transition's existence. Furthermore, these MFF processes have dynamic circuit representations that can be experimentally explored on current quantum computing platforms.
Close to final published version. 6 pages, 4 figures (main) + 14 pages, 5 figures (supplementary materials)
References in corpus (27)
- Separability Criterion for Density Matrices
- Gaussian Quantum Information
- Topological quantum memory
- Mixed-state entanglement and distillation: is there a ``bound'' entanglement in nature?
- Theory of the phase transition in random unitary circuits with measurements
- Random Quantum Circuits
- Scalable probes of measurement-induced criticality
- Postselection-free entanglement dynamics via spacetime duality
- Separability of n-particle mixed states: necessary and sufficient conditions in terms of linear maps
- Measurement-induced entanglement and teleportation on a noisy quantum processor
- Measurement as a shortcut to long-range entangled quantum matter
- Hierarchy of topological order from finite-depth unitaries, measurement and feedforward
- Quantum Circuits assisted by LOCC: Transformations and Phases of Matter
- Long-range entanglement from measuring symmetry-protected topological phases
- Qubit models of weak continuous measurements
- Shortest Route to Non-Abelian Topological Order on a Quantum Processor
- Cross Entropy Benchmark for Measurement-Induced Phase Transitions
- Spectral gaps and mid-gap states in random quantum master equations
- Hierarchy of relaxation timescales in local random Liouvillians
- Entanglement entropy scaling transition under competing monitoring protocols
- Non-reciprocal quantum interactions and devices via autonomous feed-forward
- Mixed-state long-range order and criticality from measurement and feedback
- Spectral and Steady-State Properties of Random Liouvillians
- Topology, criticality, and dynamically generated qubits in a stochastic measurement-only Kitaev model
- Measurement-induced phase transitions on dynamical quantum trees
- Measurement-induced phases of matter require feedback
- Distinguishing between quantum and classical Markovian dephasing dissipation