Designing good bosonic quantum codes via creating destructive interference
arXiv:1901.05358 · doi:10.1103/PhysRevA.103.062427
Abstract
Continuous-variable systems protected by bosonic quantum error-correcting codes have emerged as a promising platform for quantum information processing. To date, design of codewords has centered on optimizing the occupation of basis states in the error-relevant basis. Here, we propose utilizing the phase degree of freedom in basis state probability amplitudes to devise codes that feature destructive interference, and thus reduced overlap, between error codewords. To showcase, we first consider the correction of excitation loss using single-mode codes with Fock-space parity structure and show that, with a tailored "two-level" recovery, altering the signs of probability amplitudes can significantly suppress decoherence. We then study the joint channel of excitation loss and Kerr effect, and show the critical role of nontrivial phase for optimal quantum codes for such intricate yet important channels. The principle is extended to improve bosonic codes defined in other bases and multi-qubit codes, showing its wide applicability in quantum error correction.
References in corpus (15)
- Demonstration of quantum error correction and universal gate set on a binomial bosonic logical qubit
- Deterministic teleportation of a quantum gate between two logical qubits
- On-demand quantum state transfer and entanglement between remote microwave cavity memories
- Bosonic quantum error correction codes in superconducting quantum circuits
- Quantum computing with rotation-symmetric bosonic codes
- Fault-tolerant detection of a quantum error
- Improved quantum capacity bounds of Gaussian loss channels and achievable rates with Gottesman-Kitaev-Preskill codes
- Quantum information processing with bosonic qubits in circuit QED
- Codeword Stabilized Quantum Codes
- Error-transparent operations on a logical qubit protected by quantum error correction
- Optimum Quantum Error Recovery using Semidefinite Programming
- Error-corrected gates on an encoded qubit
- Quantum Error Correction via Convex Optimization
- Path-Independent Quantum Gates with Noisy Ancilla
- Hardware-Efficient Bosonic Quantum Error-Correcting Codes Based on Symmetry Operators
Cited by in corpus (10)
- Quantum control of bosonic modes with superconducting circuits
- High-fidelity measurement of qubits encoded in multilevel superconducting circuits
- Quantum error correction using squeezed Schrödinger cat states
- Quantum capacity and codes for the bosonic loss-dephasing channel
- Performance of teleportation-based error correction circuits for bosonic codes with noisy measurements
- Characterizing the performance of continuous-variable Gaussian quantum gates
- Explicit error-correction scheme and code distance for bosonic codes with rotational symmetry
- Effect of Decoherence for Gate Operations on a Superconducting Bosonic Qubit
- Generalized Number-Phase Lattice Encoding of a Bosonic Mode for Quantum Error Correction
- Fault-Tolerant Encoding of Logical Qudits in Spin Systems