Top new questions this week:
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The fidelity between two (single-qubit) quantum states can be easily translated into the euclidean distance between the two states on the Bloch sphere (hilbert-schidmit distance). I'm curious if this ...
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All the references on Grover / Amplitude Amplification (AA) (Mike&Ike, wiki, Lin Lin lecture notes, etc.) give a recipe for preparing the desired state (or amplifying the state) with probability $\...
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In Preskill's lecture notes on quantum information, problem 2.1 is concerned with the fidelity of measurement. Specifically, it defines the relative angle between two states as the inverse cosine of ...
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I have the following problem and have attempted to find a solution to it, but to no avail.
Alice and Bob have one qubit each, say $|\psi\rangle$ with Alice and $|\phi\rangle$ with Bob. They also share ...
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Basically the title, but more formally: is there a way to efficiently calculate the trace of the product of a Pauli string $P$ and a $2^n \times 2^n$ matrix $M$? That is, is there a way to calculate ...
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Following up on this question, can someone help me clear up the notation we're using for states in Shor's algorithm? It's very unclear what the sentence "where the second register is $|1\rangle$ ...
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In question 4.11 in Nielsen and Chuang's book, it states that there is a formula to describe any unitary matrix $U$ with two vectors $\vec{n}$ and $\vec{m}$ in the following way:
$$U=\exp(i \alpha) ...
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Greatest hits from previous weeks:
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This can be seen as the software complement to How does a quantum computer do basic math at the hardware level?
The question was asked by a member of the audience at the 4th network of the Spanish ...
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I want to create a Toffoli gate controlled by n qubits, and implement it in QISKit. Can this be done? If so, how?
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I am studying Quantum Computing and Information, and have come across the term "surface code", but I can't find a brief explanation of what it is and how it works. Hopefully you guys can ...
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I know that the Choi operator is a useful tool to construct the Kraus representation of a given map, and that the vectorization map plays an important role in such construction.
How exactly does the ...
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I'm admittedly a novice in this field, but I have read that, while the D-wave (one) is an interesting device, there is some skepticism regarding it being 1) useful and 2) actually a 'quantum computer'....
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Quantum algorithms frequently use bra-ket notation in their description. What do all of these brackets and vertical lines mean? For example: $|ψ⟩=α|0⟩+β|1⟩$
While this is arguably a question about ...
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So in lectures I see lots of these:
And somehow I intuitively understand it (at least for the 1 qubit case), but I don't understand the math – especially for 2 qubits.
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Can you answer these questions?
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I am reading about the quantum Fourier transform (QFT) in the qiskit textbook, but got stuck at the last part of it which shows a decomposed version of the 4 qubit QFT circuit.
It seems that the ...
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Qiskit provides a phase oracle method that takes a Boolean formula as input and returns a phase oracle circuit for that function as output.
Their source code informed me that the synthesis uses the ...
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In the superconducting charge qubit implementation of the qubit what I've understood is that we read a 1 if a Cooper pair has gone through the Josephson Junction into the "island" and we ...
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