An Optimized Nearest Neighbor Compliant Quantum Circuit for 5-Qubit Code

The five-qubit quantum error correcting code encodes one logical qubit to five physical qubits, and protects the code from a single error. It was one of the first quantum codes to be invented, and various encoding circuits have been proposed for it. In this paper, we propose a systematic procedure f...

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Veröffentlicht in:Conference record - Asilomar Conference on Signals, Systems, & Computers S. 278 - 282
Hauptverfasser: Mondal, Arijit, Parhi, Keshab K.
Format: Tagungsbericht
Sprache:Englisch
Veröffentlicht: IEEE 27.10.2024
Schlagworte:
Codes
CSS framework
Decoding
Encoders and decoders
Encoding
Error correction codes
five-qubit code
Logic gates
Noise
Optimization
Quantum circuit
Quantum computation
Quantum ECCs
Qubit
Stabilizer codes
Systematics
ISSN:2576-2303
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Zusammenfassung:The five-qubit quantum error correcting code encodes one logical qubit to five physical qubits, and protects the code from a single error. It was one of the first quantum codes to be invented, and various encoding circuits have been proposed for it. In this paper, we propose a systematic procedure for optimization of encoder circuits for stabilizer codes. We start with the systematic construction of an encoder for a five-qubit code, and optimize the circuit in terms of the number of quantum gates. Our method is also applicable to larger stabilizer codes. We further propose nearest neighbor compliant (NNC) circuits for the proposed encoder using a single swap gate, as compared to three swap gates in a prior design.
ISSN:2576-2303
DOI:10.1109/IEEECONF60004.2024.10943092