Calendar
Events at the Department of Mathematical Sciences.
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16 Sept. 2015, 12:00-13:00
Quantum Lunch: Quantum Circuits for Isometries
Speaker: Raban Iten
Abstract: Every quantum operation can be decomposed into a sequence of single-qubit and Controlled-Not (C-NOT) gates. In many experimental architectures, single-qubit gates are relatively ‘cheap’ to perform compared to C-NOTs (for instance, being less susceptible to noise), and hence it is desirable to minimize the number of C-NOT gates required to implement a circuit. I will consider the task of constructing an arbitrary isometry from m qubits to n qubits, while trying to minimize the number of C-NOT gates required. I will show a lower bound and then give an explicit gate decomposition that gets within a factor of about two of this bound. Through Stinespring’s theorem this points to a C-NOT-efficient way to perform an arbitrary quantum operation.
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16 Sept. 2015, 15:15-16:15
Operator Algebra Seminar
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