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Title: Quantum Computing and Second Quantization

Journal Article · · Journal of Knot Theory and Its Ramifications

Quantum computers are by their nature many particle quantum systems. Both the many-particle arrangement and being quantum are necessary for the existence of the entangled states, which are responsible for the parallelism of the quantum computers. Second quantization is a very important approximate method of describing such systems. This lecture will present the general idea of the second quantization, and discuss shortly some of the most important formulations of second quantization.

Research Organization:
Los Alamos National Laboratory (LANL)
Sponsoring Organization:
USDOE
Grant/Contract Number:
AC52-06NA25396
OSTI ID:
1352444
Report Number(s):
LA-UR-15-29479
Journal Information:
Journal of Knot Theory and Its Ramifications, Journal Name: Journal of Knot Theory and Its Ramifications Journal Issue: 03 Vol. 26; ISSN 0218-2165
Country of Publication:
United States
Language:
English

References (11)

Generalized pure spinors journal December 1994
Qubits as parafermions journal September 2002
Generalized noiseless quantum codes utilizing quantum enveloping algebras journal February 2001
Exchange gate on the qudit space and Fock space journal October 2003
An algebraic approach to linear-optical schemes for deterministic quantum computing journal November 2005
Entanglement in fermionic Fock space journal February 2014
Classical and Quantum Computation book January 2002
Inefficiency of classically simulating linear optical quantum computing with Fock-state inputs journal February 2014
Quantum computing with parafermions journal March 2016
Embedding qubits into fermionic Fock space: Peculiarities of the four-qubit case journal June 2015
Noiseless Quantum Codes journal October 1997

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