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Why does the quantum walk operator only have two eigenvectors?
In Child's paper on the relationship between discrete and continuous quantum walks, he makes the following claim.
Although he provides a proof after this:
I don't understand how the walk operator mu …
0
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1
answer
192
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How is the P function applied in QSVT for the case of Hamiltonian simulation if it only modi...
\end{bmatrix}
$
However, on a following slide regarding Hamiltonian simulation, he brings this up:
What is $P(H)$ here? …
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0
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Proof of $cos(Ht) = \sum_\sigma cos(\sigma) \left | w_\sigma \right > \left < v_\sigma \righ...
I am reading the grand unification of quantum algorithms, and read over the hamiltonian simulation technique.
However, I am a bit confused. … Then they use this fact to reduce the problem of hamiltonian simulation to finding $cos(Ht)$ and $sin(Ht)$, which is all well and good. …
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1
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185
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How to choose values of phi for Hamiltonian simulation with Quantum Singular Value Transform?
I am really trying to understand it behind the context of Hamiltonian Simulation, and have read many papers and watched a few videos outlining the methods. …