How Dynamical Quantum Memories Forget
Explore this paper's citation graph
Summary
It is demonstrated that even in the "mixed" phase, a maximally mixed initial density matrix is purified on a time scale equal to the Hilbert space dimension (i.e., exponential in system size), albeit with noisy dynamics at intermediate times which the authors connect to Dyson Brownian motion.
- Type
- article
- Published
- 2020-08-24
- Cited by
- 108
- References
- 23
- Access
- Open access
- OpenAlex
- https://openalex.org/W3081325867
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:221293193
Keywords
Fermion, Quadratic equation, Quantum entanglement, Hilbert space, Quantum
References
- Local random quantum circuits are approximate polynomial-designs: numerical results
- Random unitaries give quantum expanders
- A Brownian‐Motion Model for the Eigenvalues of a Random Matrix
- Loop models with crossings
- Integration with Respect to the Haar Measure on Unitary, Orthogonal and Symplectic Group
- A sharp continuity estimate for the von Neumann entropy
- Measurement-Induced Phase Transitions in the Dynamics of Entanglement
- Quantum Zeno effect and the many-body entanglement transition
- Unitary-projective entanglement dynamics
- Approximate Unitary t-Designs by Short Random Quantum Circuits Using Nearest-Neighbor and Long-Range Gates
- Measurement-driven entanglement transition in hybrid quantum circuits
- Dynamical Purification Phase Transition Induced by Quantum Measurements
- Lagrangian representation for fermionic linear optics
- The Random Matrix Theory of the Classical Compact Groups
- Entanglement in a fermion chain under continuous monitoring
- Scalable Probes of Measurement-Induced Criticality.
- Entanglement and dynamics of diffusion-annihilation processes with Majorana defects
- Self-organized error correction in random unitary circuits with measurement
- Entanglement Phase Transitions in Measurement-Only Dynamics
- Emergent conformal symmetry in nonunitary random dynamics of free fermions
Cited by
- Efficient classical simulation of random shallow 2D quantum circuits
- Entanglement Phase Transitions in Measurement-Only Dynamics
- Measurement and Entanglement Phase Transitions in All-To-All Quantum Circuits, on Quantum Trees, and in Landau-Ginsburg Theory
- Measurement-induced phase transitions in quantum automaton circuits
- Quantum Coding with Low-Depth Random Circuits
- Postselection-Free Entanglement Dynamics via Spacetime Duality.
- Topological Order and Criticality in (2+1)D Monitored Random Quantum Circuits.
- Entanglement Negativity at Measurement-Induced Criticality
- Entanglement and purification transitions in non-Hermitian quantum mechanics
- Criticality and entanglement in nonunitary quantum circuits and tensor networks of noninteracting fermions
- Dimensional hybridity in measurement-induced criticality.
- Effective Theory for the Measurement-Induced Phase Transition of Dirac Fermions
- Fractal, Logarithmic, and Volume-Law Entangled Nonthermal Steady States via Spacetime Duality
- Fisher zeros and persistent temporal oscillations in nonunitary quantum circuits
- Fate of Measurement-Induced Phase Transition in Long-Range Interactions.
- Universal Entanglement Transitions of Free Fermions with Long-range Non-unitary Dynamics
- Entanglement Domain Walls in Monitored Quantum Circuits and the Directed Polymer in a Random Environment
- Dynamically Generated Logical Qubits
- Entanglement transitions from restricted Boltzmann machines
- Entanglement phase transitions in random stabilizer tensor networks
Related papers
No related papers recorded.