Nonuniversal entanglement level statistics in projection-driven quantum circuits
| Autor: | Eduardo R. Mucciolo, Claudio Chamon, Andrei E. Ruckenstein, Justin Reyes, Lei Zhang, Stefanos Kourtis |
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| Rok vydání: | 2020 |
| Předmět: |
Phase transition
Level repulsion FOS: Physical sciences 02 engineering and technology Quantum entanglement Poisson distribution 01 natural sciences Condensed Matter - Strongly Correlated Electrons symbols.namesake Computer Science::Emerging Technologies 0103 physical sciences Statistics 010306 general physics Contraction (operator theory) Quantum Condensed Matter - Statistical Mechanics Physics Quantum Physics Statistical Mechanics (cond-mat.stat-mech) Strongly Correlated Electrons (cond-mat.str-el) Spacetime Disordered Systems and Neural Networks (cond-mat.dis-nn) Condensed Matter - Disordered Systems and Neural Networks 021001 nanoscience & nanotechnology Qubit symbols Quantum Physics (quant-ph) 0210 nano-technology |
| Zdroj: | Physical Review B. 101 |
| ISSN: | 2469-9969 2469-9950 |
| DOI: | 10.1103/physrevb.101.235104 |
| Popis: | We study the level-spacing statistics in the entanglement spectrum of output states of random universal quantum circuits where qubits are subject to a finite probability of projection to the computational basis at each time step. We encounter two phase transitions with increasing projection rate: The first is the volume-to-area law transition observed in quantum circuits with projective measurements; The second separates the pure Poisson level statistics phase at large projective measurement rates from a regime of residual level repulsion in the entanglement spectrum within the area-law phase, characterized by non-universal level spacing statistics that interpolates between the Wigner-Dyson and Poisson distributions. By applying a tensor network contraction algorithm introduced in Ref. [1] to the circuit spacetime, we identify this second projective-measurement-driven transition as a percolation transition of entangled bonds. The same behavior is observed in both circuits of random two-qubit unitaries and circuits of universal gate sets, including the set implemented by Google in its Sycamore circuits. 7 pages, 7 figures |
| Databáze: | OpenAIRE |
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