Journal
PHYSICAL REVIEW LETTERS
Volume 125, Issue 7, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.125.070606
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Funding
- DARPA Driven and Nonequilibrium Quantum Systems program
- Simons Fellowship
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We uncover a local order parameter for measurement-induced phase transitions: the average entropy of a single reference qubit initially entangled with the system. Using this order parameter, we identify scalable probes of measurement-induced criticality that are immediately applicable to advanced quantum computing platforms. We test our proposal on a 1 + 1 dimensional stabilizer circuit model that can be classically simulated in polynomial time. We introduce the concept of a decoding light cone to establish the local and efficiently measurable nature of this probe. We also estimate bulk and surface critical exponents for the transition. Developing scalable probes of measurement-induced criticality in more general models may be a useful application of noisy intermediate scale quantum devices, as well as point to more efficient realizations of fault-tolerant quantum computation.
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