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Protected qubit based on a superconducting current mirror

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arxiv cond-mat/0609441 v2 pith:BQXHWC7B submitted 2006-09-19 cond-mat.mes-hall cond-mat.supr-conquant-ph

Alexei Kitaev This is my paper
classification cond-mat.mes-hallcond-mat.supr-conquant-ph
keywords gatesqubitimplementationprotectedcapacitivelychainchainscondensation
verification ladder T0 review T1 audit T2 compute T3 formal
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We propose a qubit implementation based on exciton condensation in capacitively coupled Josephson junction chains. The qubit is protected in the sense that all unwanted terms in its effective Hamiltonian are exponentially suppressed as the chain length increases. We also describe an implementation of a universal set of quantum gates. Most gates also offer exponential error suppression. The only gate that is not intrinsically fault-tolerant needs to be realized with about 50% precision, provided the other gates are exact.

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Protected measurements for protected superconducting qubits

    quant-ph 2026-08 conditional novelty 7.0 of 10

    Protected Z and X measurements of the 0-pi qubit are proposed, with exponentially suppressed errors via GKP-state encoding and charge-parity mapping.

  2. Superconducting Qubits with Altermagnetic Josephson Junctions

    quant-ph 2026-06 unverdicted novelty 7.0 of 10

    Microscopic calculations indicate that altermagnetic Josephson junctions in transmon qubits yield decoherence protection and high anharmonicity, with strain proposed to tune gate speeds.

  3. Full Gate-Voltage Control of a Parity-Protected Superconducting Qubit with an Altermagnetic Josephson Junction

    cond-mat.supr-con 2026-07 conditional novelty 6.5 of 10

    An altermagnetic Josephson junction electrically tuned to a 0-π point yields a cos2φ double-well potential and a parity-protected qubit with estimated millisecond coherence under full gate control.

  4. Exponentially robust non-Clifford gate in a driven-dissipative circuit

    quant-ph 2025-07 conditional novelty 6.0 of 10

    A driven-dissipative GKP qubit can implement a topologically protected non-Clifford square-root T gate via a phi^4 flux potential, with numerically demonstrated exponential error suppression.

  5. Fraxonium: Fractional fluxon states for qudit encoding

    quant-ph 2026-05 unverdicted novelty 5.0 of 10

    Superconducting circuit hosts fractional fluxon states (fraxons) in a tailored Josephson potential to realize protected qudits with a STIRAP gate protocol.

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