PIRSA:24050068

Randomly Monitored Quantum Codes

Lee, D. (2024). Randomly Monitored Quantum Codes. Perimeter Institute. https://pirsa.org/24050068

Lee, Dongjin. Randomly Monitored Quantum Codes. Perimeter Institute, May. 07, 2024, https://pirsa.org/24050068 

          @misc{ pirsa_PIRSA:24050068,
            doi = {10.48660/24050068},
            url = {https://pirsa.org/24050068},
            author = {Lee, Dongjin},
            keywords = {Quantum Information},
            language = {en},
            title = {Randomly Monitored Quantum Codes},
            publisher = {Perimeter Institute},
            year = {2024},
            month = {may},
            note = {PIRSA:24050068 see, \url{https://pirsa.org}}
          }

Dongjin Lee

Perimeter Institute for Theoretical Physics

Talk number
PIRSA:24050068
Collection
Talk Type
Subject
Abstract

Quantum measurement has conventionally been regarded as the final step in quantum information processing, which is essential for reading out the processed information but collapses the quantum state into a classical state. However, recent studies have shown that quantum measurement itself can induce novel quantum phenomena. One seminal example is a monitored random circuit, which can generate long-range entanglement faster than a random unitary circuit. Inspired by these results, in this talk, we address the following question: When quantum information is encoded in a quantum error-correcting code, how many physical qubits should be randomly measured to destroy the encoded information? We investigate this question for various quantum error-correcting codes and derive the necessary and sufficient conditions for destroying the information through measurements. In particular, we demonstrate that for a large class of quantum error-correcting codes, it is impossible to destroy the encoded information through random single-qubit Pauli measurements when a tiny portion of physical qubits is still unmeasured. Our results not only reveal the extraordinary robustness of quantum codes under measurement decoherence, but also suggest potential applications in quantum information processing tasks.

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