Questions tagged [measurement-based-qc]
For questions about measurement-based quantum computation.
32 questions
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Are there tools to generate fusion based (FBQC) gates
What I'm looking for is something that takes a standard gate (simple paulis for example) and give its fusion based (FBQC) equivalent; this would be two sets of pauli strings on n qubits : the first ...
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Query regarding the teleportation of a states into a graph code using an arbitrary measurement
I am looking at Optimising graph codes for measurement-based loss tolerance, and I have a query regarding the statement on page 2 about measuring in a rotated basis to teleport the required state into ...
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Shor code: arbitrary quantum error-correction
For describing Shor code for arbitrary error-correction, Nielsen and Chuang in page 434 say: we describe the noise by a trace-preserving quantum operation $\mathcal{E}$
$$\mathcal{E}(|\psi\rangle\...
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Growing the code distance in MBQC setup (e.g. RHG cube)
In "stabilizers measurement" stile of QECC, one can increase the code distance by creating additional (unentangled) qubits, and subsequently measure the stabilizers of the former code along ...
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Generating Resource State for Measurement Based Distillation
Alice and Bob generate their resource state, i.e, an $(n+k)$-qubit stabilizer state with generators
\begin{equation}
\{ g_i, \, \bar{X}_j X_{n+j}, \, \bar{Z}_j Z_{n+j} \} \, .
\end{equation}
Here, ...
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Poking holes and cutting corners with the surface code: how do we get the stabilisers when turning defect lines around corners?
In Poking holes and cutting corners to achieve Clifford gates with the surface code (arXiv), I'm having trouble with Fig. 6. I understand what the stabilisers are across the defect line, and I ...
user23402
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Performing gates and measurements on 2D cluster states in MBQC
I've been going through various papers on MBQC for a while now, and I am still not clear on how we perform gates on 2D cluster states. On 1D clusters it's very clear, just a series of measurements in ...
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Quantum teleportation circuit with rotated measurement
I'm looking at Lattice Surgery on the Raussendorf Lattice, and I am getting confused by one of their teleportation circuits.
In Figure 1, they show the following circuit to achieve MBQC:
It differs ...
- 1,277
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Difference between Cluster states and Gaussian Boson Sampling- Discussion
Let me share my understanding first, the two key terms are Gaussian Boson Sampling and Cluster State. So far from my understanding, Gaussian Boson Sampling is a resonant state generator. I can ...
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Under not-symmetric noise, can the 2d square lattice cluster state be used for universal fault-tolerant quantum computation?
The short story, including the question:
Cluster states are used for measurement-based quantum computation in which a circuit is simulated by way of single-site measurements of the bulk of a quantum ...
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Measurement of a logical operator in a Foliated Surface Code
I am reading Universal Fault Tolerant Measurement Based Quantum Computing. On page 6, under the section Measurement-based qubit transmission, it states that measurement of the logical operators is ...
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How does measurement based quantum computing (MBQC) behave under error propagation?
In the quantum circuit model, we know how to handle error propagation if we implement a unitary $U'$, which is $\varepsilon$-close to the ideal unitary $U$ and a state $|\psi'\rangle$, which is also $\...
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Are close states still close after measurement (regarding trace distance)?
We are given two states $|\psi_1\rangle, |\psi_2\rangle \in \mathbb{C}^2 \otimes \mathbb{C}^2$ with trace distance $\leq \varepsilon$, so they are very close to each other.
Now, assume we measure the ...
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Removing ancilla qubit from circuit with Hadamard test controlled-Z gate
I want to remove the ancilla qubit from the following quantum circuit:
Is this possible?
The final state of $\newcommand{\ket}[1]{\vert#1\rangle}\newcommand{\bra}[1]{\langle#1\vert}\ket{\psi_1}$ is $\...
- 331
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How to get the surviving stabilisers of a fusion network
In Fig. 5 of PsiQuantum's Fusion-based quantum computation paper, it's clear to me how to get R, F, and C.
How do I get S? Just by looking at (a), I could obviously tell you that we end up with <...
user23402
