Questions tagged [toffoli-gate]
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7 questions
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Understanding Knill-Gottesman theorem: what role does the Toffoli gate play?
I’m trying to understand the relationship between the Toffoli gate, Clifford gates, and the classical simulation of quantum circuits.
-I know that the Toffoli gate is universal for classical ...
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Is it possible to approximately compile Toffoli using H and CSWAP?
Question:
Given all controlled-SWAP (CSWAP) and Hadamard (H) gates on 3 qubits, is it possible to approximately compile the Toffoli (CCX) gate?
Discussion
From basic simulations, it appears that all $\...
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Intro book on classical and quantum computing by Thomas G Wong
Looking at his book, and am obviously new to studying this. Could someone help explain to me how the truth table is valid here?
To my understanding, when $C=0$, the circuit behaves like a reversible ...
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Showing the Toffoli gate can be constructed from one-qubit gates using computer matrix multiplication
I need help coming up with the code that I can use in a computer algebra system like Sage, Python, or Mathematica that can evaluate the circuit.
I am not a programmer and used ChatGPT to try to help ...
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Can you decompose a 4-qubit Toffoli gate (CCCX) into basic gates without an ancillary state?
I have a problem relevant to the circuit depth of a $\text{CCCX}$ gate, but I can't find any literature on decomposing this gate into basic gates without an ancillary qubit. Is this possible, and are ...
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How to implement multi controlled X gates in Qasm
I wanted to know the easiest way to implement a large multi controlled x gate using Qasm and not Qiskit, if it's possible
3
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Circumventing the Eastin-Knill theorem by means of Shor's fault tolerant Toffoli gate
I have been reading about the Eastin-Knill theorem, which states that no quantum error correction code can can transversely implement a universal gate set. In this context, for example, the surface ...
