Quantum

Normal-Form Characterization of Adaptivity and Entanglement in Pauli-Based Computation

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Briefings

This research establishes a normal form for Pauli-based computation (PBC), a measurement-based quantum model, characterizing its adaptive and entanglement structures. The study unifies PBC with one-way quantum computing and introduces an exponential improvement in detecting unnecessary magic-state qubits, enabling efficient removal. It also advances distributed computation strategies and demonstrates a 50% reduction in CNOT gate count and 40% reduction in quantum memory for random circuits compared to other compilers.

Key points

• The study provides a normal form (NF) that completely characterizes the adaptive and entanglement structures of Pauli-based computation.
• The NF enables ahead-of-time circuit compilation, reducing CNOT gate count by 50% and quantum memory by 40% on average for random quantum circuits.

Context

Pauli-based computation is a measurement-based model of quantum computation that samples from output distributions of universal Clifford+$T$ circuits. This work unifies PBC with one-way quantum computing as dual or time-reversed counterparts.

Limitations

The evidence is from a preprint (arXiv:2610.30315v1) and represents initial findings. The authors have not yet conducted full experimental verification of the magic-state qubit detection improvements or the 50%/40% reduction claims on real hardware.

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