nLab Arthur Parzygnat

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Selected writings

On higher parallel transport for connections on a 2-bundle:

• Arthur Parzygnat, Two-dimensional algebra in lattice gauge theory, Journal of Mathematical Physics 60 043506 (2019) [arXiv:1802.01139, doi:10.1063/1.5078532]

On Bayesian inversion for quantum systems (via quantum channels):

• James Fullwood, Arthur J. Parzygnat: From time-reversal symmetry to quantum Bayes rules, PRX Quantum 4 020334 (2023) [arXiv:2212.08088, doi:10.1103/PRXQuantum.4.020334]

• James Fullwood, Arthur J. Parzygnat: Operator representation of spatiotemporal quantum correlations [arXiv:2405.17555]

• Arthur J. Parzygnat, James Fullwood: Time-symmetric correlations for open quantum systems [arXiv:2407.11123]

• Arthur Parzygnat: A Spatiotemporal Extension of Density Matrices and Time-Reversal Symmetry for Measurements, talk at CQTS (Nov 2024) [slides:pdf]

Related entries

• Gelfand-Naimark-Segal construction

• higher parallel transport, connection on a 2-bundle

• tensor network

category: people