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2021

Dynamically Generated Logical Qubits

Hastings, Matthew B., Haah, Jeongwan

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We present a quantum error correcting code with dynamically generated logical qubits.

When viewed as a subsystem code, the code has no logical qubits.
Nevertheless, our measurement patterns generate logical qubits, allowing the code to act as a fault-tolerant quantum memory.
Our particular code gives a model very similar to the two-dimensional toric code, but each measurement is a two-qubit Pauli measurement.

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M. J. Gullans and D. A. Huse, “Dynamical purification phase transition induced by quantum measurements,” Physical Review X 10
Original
1905
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D. Bacon, “Operator quantum error-correcting subsystems for self-correcting quantum memories,” Physical Review A 73
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Similar

A. Kitaev, “Anyons in an exactly solved model and beyond,” Annals of Physics 321
2006
Cited alongside, same era.
L. Fidkowski, J. Haah, and M. B. Hastings, “How dynamical quantum memories forget,” Quantum 5
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2008
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H. Bombin, “Topological subsystem codes,” Physical Review A 81
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2010
Cited alongside, same era.
S. Bravyi, G. Duclos-Cianci, D. Poulin, and M. Suchara, “Subsystem surface codes with three-qubit check operators,” Quantum Information and Computation 13
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2013
Cited alongside, same era.

Then

T. Karzig, C. Knapp, R. M. Lutchyn, P. Bonderson, M. B. Hastings, C. Nayak, J. Alicea, K. Flensberg, S. Plugge, Y. Oreg, C. M. Marcus, and M. H. Freedman, “Scalable designs for quasiparticle-poisoning-protected topological quantum computation with majorana zero modes,” Physical Review B 95
Original
2017
Later among the works it cites.
Y. Li, X. Chen, and M. P. A. Fisher, “Quantum zeno effect and the many-body entanglement transition,” Phys. Rev. B 98
Original
2018
Later among the works it cites.
B. Skinner, J. Ruhman, and A. Nahum, “Measurement-induced phase transitions in the dynamics of entanglement,” Phys. Rev. X 9
Original
2019
Later among the works it cites.
K. Kawagoe and M. Levin, “Microscopic definitions of anyon data,” Physical Review B 101
2020
Later among the works it cites.

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