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For questions regarding usage, performance, implementation, application or theory related to quantum gates.

0
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Perhaps you want it symmetric over both the the main diagonal ($a_{ij}=a_{ji}$), and the other diagonal. A "bisymmetric" matrix has this property. It's clear that a SQSWAP gate has this property (al …
answered Sep 5 by Mark S
2
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Your question is not localized to quantum gates, but can be rephrased as "how do I implement a (classical) reversible gate that can realize a logical $\mathsf{OR}$?" I propose a $3$-input "upstart" g …
answered May 10 by Mark S
2
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I'm a little confused about which gates operate on which qubits and how, but following the linked question, I think I understand that you are wondering why, given a single qubit in the state in $a|0\r …
answered Jun 30 by Mark S
3
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Shor's algorithm is based on the gate model of quantum computation. However, there are alternatives to the gate model, such as quantum walks, etc. See all of the answers to this question for a nice …
answered Apr 9 by Mark S
3
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As to the question of how to convert a function performed iteratively using irreversible gates to the same function performed iteratively using reversible gates, you should probably accept that any bo …
answered May 6 by Mark S
2
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I think there are two meanings of "reversible" at work. These may be causing confusion. Initially, even in the classical world, when we say that a function $f(x)$ is irreversible without any other …
answered Apr 17 by Mark S
2
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Initially $|x\rangle|x\oplus y\rangle$ is a perfectly valid state. The first qubit is in $|x\rangle$ and the second qubit is in $|x\oplus y\rangle$ - that is, the second qubit is entangled with the f …
answered Oct 9 by Mark S
1
vote
Quantum algorithms provide a computational speedup by orchestrating constructive and destructive interference of the amplitudes. It is as if there must be a "minus" sign somewhere in the matrices - o …
answered Jul 5 by Mark S
2
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While a follow-up question asks for the motivation behind the two-qubit gates used in Sycamore, this question focuses on the random nature of the single qubit operations used in Sycamore, that is, the …
answered Oct 1 by Mark S
5
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TL/DR: The two-qubit gates are going by the moniker "Sycamore gates" in the paper, and it appears that they would ideally want to explore more of the $(\phi, \theta)$ phase-space but for their purpose …
answered Sep 29 by Mark S