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Title: Quantum circuits for qubit fusion

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, C 2 1 C C 4 2 C C 2 3, 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.
Authors:
 [1]
  1. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States). Center for Computing Research
Publication Date:
Report Number(s):
SAND-2015-11052J
Journal ID: ISSN 1533-7146; 617373
Grant/Contract Number:
AC04-94AL85000
Type:
Accepted Manuscript
Journal Name:
Quantum Information & Computation
Additional Journal Information:
Journal Volume: 16; Journal Issue: 13-14; Journal ID: ISSN 1533-7146
Publisher:
Rinton Press
Research Org:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Org:
USDOE National Nuclear Security Administration (NNSA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
OSTI Identifier:
1338340