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Pair-cat codes: autonomous error-correction with low-order nonlinearity
- Source :
- Quantum Science and Technology. 4:035007
- Publication Year :
- 2019
- Publisher :
- IOP Publishing, 2019.
-
Abstract
- We introduce a driven-dissipative two-mode bosonic system whose reservoir causes simultaneous loss of two photons in each mode and whose steady states are superpositions of pair-coherent/Barut-Girardello coherent states. We show how quantum information encoded in a steady-state subspace of this system is exponentially immune to phase drifts (cavity dephasing) in both modes. Additionally, it is possible to protect information from arbitrary photon loss in either (but not simultaneously both) of the modes by continuously monitoring the difference between the expected photon numbers of the logical states. Despite employing more resources, the two-mode scheme enjoys two advantages over its one-mode cat-qubit counterpart with regards to implementation using current circuit QED technology. First, monitoring the photon number difference can be done without turning off the currently implementable dissipative stabilizing process. Second, a lower average photon number per mode is required to enjoy a level of protection at least as good as that of the cat-codes. We discuss circuit QED proposals to stabilize the code states, perform gates, and protect against photon loss via either active syndrome measurement or an autonomous procedure. We introduce quasiprobability distributions allowing us to represent two-mode states of fixed photon number difference in a two-dimensional complex plane, instead of the full four-dimensional two-mode phase space. The two-mode codes are generalized to multiple modes in an extension of the stabilizer formalism to non-diagonalizable stabilizers. The $M$-mode codes can protect against either arbitrary photon losses in up to $M-1$ modes or arbitrary losses and gains in any one mode.<br />29 pages, 9 figures, 2 tables; added a numerical comparison
- Subjects :
- Physics
Quantum Physics
Photon
Condensed Matter - Mesoscale and Nanoscale Physics
Physics and Astronomy (miscellaneous)
Condensed Matter - Superconductivity
Materials Science (miscellaneous)
Dephasing
FOS: Physical sciences
Topology
Atomic and Molecular Physics, and Optics
Superconductivity (cond-mat.supr-con)
Phase space
Mesoscale and Nanoscale Physics (cond-mat.mes-hall)
Dissipative system
Coherent states
Electrical and Electronic Engineering
Quantum information
Quantum Physics (quant-ph)
Error detection and correction
Complex plane
Subjects
Details
- ISSN :
- 20589565
- Volume :
- 4
- Database :
- OpenAIRE
- Journal :
- Quantum Science and Technology
- Accession number :
- edsair.doi.dedup.....8464c5fc823abe796773306191b21425