Dynamical Purification Phase Transition Induced by Quantum Measurements

2019/05/31 by Michael J. Gullans, David A. Huse · 11 citations
Computer Science · Physics and Astronomy · #Phase (matter) #Phase transition #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum many-body systems #Quantum phase transition #Quantum phases #Quantum state #Quantum system #State (computer science) #cond-mat.mes-hall #cond-mat.stat-mech #quant-ph

paper · pdf · doi:10.1103/physrevx.10.041020

published as Phys. Rev. X 10, 041020 (2020) · 27 pages, 9 figures; v2: Added (i) general definition of purification transitions and (ii) critical scaling based on tripartite mutual information, v3: Minor updates, v4: Added (i) Theorem on dynamically generated codes and (ii) results on mixed phase in all-to-all models, v5: Improved presentation

openalex created_date 2019/05/29 · arxiv created 2020/07/30 · openalex publication_date 2020/10/28 · arxiv updated 2020/11/03 · openalex updated_date 2026/08/06

Abstract

The rate at which a many-body quantum system is measured can induce a transition between a state that remembers initial conditions and one that forgets, possibly leading to new types of quantum error-correcting codes.

Citations

• Capacity of the noisy quantum channel
• Entanglement on mixed stabilizer states: normal forms and reduction procedures
• Improved simulation of stabilizer circuits
• Purification of Noisy Entanglement and Faithful Teleportation via Noisy Channels
• A Class of Quantum Error-Correcting Codes Saturating the Quantum Hamming Bound
• Universal Quantum Computation with ideal Clifford gates and noisy ancillas
• Optimal Purification of Single Qubits
• Topological quantum memory
• A no-go theorem for a two-dimensional self-correcting quantum memory based on stabilizer codes
• Good Quantum Error-Correcting Codes Exist
• Black holes as mirrors: quantum information in random subsystems
• Quantum Computing in the NISQ era and beyond

Cited by

• Theory of the Matchgate Commutant
• Informational Mpemba Effect for Fast State Purification in Non-Hermitian System
• The Measurement-induced Transition in Long-range Interacting Quantum Circuits
• Quantum Circuits Assisted by Local Operations and Classical Communication: Transformations and Phases of Matter
• Dissipative Floquet Dynamics: from Steady State to Measurement Induced Criticality in Trapped-ion Chains
• Statistical mechanics of quantum error correcting codes
• Universality of Entanglement Transitions from Stroboscopic to Continuous Measurements
• Quantum criticality in the nonunitary dynamics of (2+1)-dimensional free fermions
• Measurement-protected quantum phases
• Non-unitary dynamics of Sachdev-Ye-Kitaev chain
• Learning transitions in classical Ising models and deformed toric codes