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.
Original language | English |
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Number of pages | 48 |
Publication status | Published - 4 Jun 2017 |
Event | Quantum Information Processing (QIP 2017) 21st International Conference, 21st International Conference - Seattle, United States Duration: 14 Jan 2017 → 20 Jan 2017 |
Conference
Conference | Quantum Information Processing (QIP 2017) 21st International Conference, 21st International Conference |
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Country/Territory | United States |
City | Seattle |
Period | 14/01/17 → 20/01/17 |