Quantum circuits for qubit fusion

Journal Article · 01 December 2015 · Quantum Information & Computation

OSTI ID:1338340

Moussa, Jonathan Edward ^[1]

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1. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States). Center for Computing Research

In this article, we consider four-dimensional qudits as qubit pairs and their qudit Pauli operators as qubit Cli ord operators. This introduces a nesting, C²₁ C C⁴₂ C C²₃, where C^m_n is the n^th level of the m-dimensional qudit Cli ord hierarchy. If we can convert between logical qubits and qudits, then qudit Cli ord operators are qubit non-Cli ord operators. Conversion is achieved by qubit fusion and qudit fission using stabilizer circuits that consume a resource state. This resource is a fused qubit stabilizer state with a fault-tolerant state preparation using stabilizer circuits.

• Research Organization: Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)
• Sponsoring Organization: USDOE National Nuclear Security Administration (NNSA)
• Grant/Contract Number: AC04-94AL85000
• OSTI ID: 1338340
• Report Number(s): SAND-2015-11052J; 617373
• Journal Information: Quantum Information & Computation, Journal Name: Quantum Information & Computation Journal Issue: 13-14 Vol. 16; ISSN 1533-7146
• Publisher: Rinton Press
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS