Biunitary constructions in quantum information

Research output: Contribution to conference (unpublished)Paperpeer-review

Standard

Biunitary constructions in quantum information. / Reutter, David; Vicary, Jamie.

2017. Paper presented at Quantum Information Processing (QIP 2017) 21st International Conference, 21st International Conference, Seattle, United States.

Research output: Contribution to conference (unpublished)Paperpeer-review

Harvard

Reutter, D & Vicary, J 2017, 'Biunitary constructions in quantum information', Paper presented at Quantum Information Processing (QIP 2017) 21st International Conference, 21st International Conference, Seattle, United States, 14/01/17 - 20/01/17. <https://arxiv.org/pdf/1609.07775.pdf>

APA

Reutter, D., & Vicary, J. (2017). Biunitary constructions in quantum information. Paper presented at Quantum Information Processing (QIP 2017) 21st International Conference, 21st International Conference, Seattle, United States. https://arxiv.org/pdf/1609.07775.pdf

Vancouver

Reutter D, Vicary J. Biunitary constructions in quantum information. 2017. Paper presented at Quantum Information Processing (QIP 2017) 21st International Conference, 21st International Conference, Seattle, United States.

Author

Reutter, David ; Vicary, Jamie. / Biunitary constructions in quantum information. Paper presented at Quantum Information Processing (QIP 2017) 21st International Conference, 21st International Conference, Seattle, United States.48 p.

Bibtex

@conference{2b36c2e730ad4d79a134dc974205ba92,
title = "Biunitary constructions in quantum information",
abstract = "We present an infinite number of construction schemes involving unitary error bases, Hadamard matrices, quantum Latin squares and controlled families, many of which have not previously been described. Our results rely on biunitary connections, algebraic objects which play a central role in the theory of planar algebras. They have an attractive graphical calculus which allows simple correctness proofs for the constructions we present. We apply these techniques to construct a unitary error basis that cannot be built using any previously known method.",
author = "David Reutter and Jamie Vicary",
year = "2017",
month = jun,
day = "4",
language = "English",
note = "Quantum Information Processing (QIP 2017) 21st International Conference, 21st International Conference ; Conference date: 14-01-2017 Through 20-01-2017",

}

RIS

TY - CONF

T1 - Biunitary constructions in quantum information

AU - Reutter, David

AU - Vicary, Jamie

PY - 2017/6/4

Y1 - 2017/6/4

N2 - We present an infinite number of construction schemes involving unitary error bases, Hadamard matrices, quantum Latin squares and controlled families, many of which have not previously been described. Our results rely on biunitary connections, algebraic objects which play a central role in the theory of planar algebras. They have an attractive graphical calculus which allows simple correctness proofs for the constructions we present. We apply these techniques to construct a unitary error basis that cannot be built using any previously known method.

AB - We present an infinite number of construction schemes involving unitary error bases, Hadamard matrices, quantum Latin squares and controlled families, many of which have not previously been described. Our results rely on biunitary connections, algebraic objects which play a central role in the theory of planar algebras. They have an attractive graphical calculus which allows simple correctness proofs for the constructions we present. We apply these techniques to construct a unitary error basis that cannot be built using any previously known method.

UR - https://www.youtube.com/watch?v=_nVsClvU0lY&feature=youtu.be

M3 - Paper

T2 - Quantum Information Processing (QIP 2017) 21st International Conference, 21st International Conference

Y2 - 14 January 2017 through 20 January 2017

ER -