Quantum Computing Stack Exchange
Quantum Computing Stack Exchange

Questions tagged [measurement-based-qc]

For questions about measurement-based quantum computation.

28 questions
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Hadamard Gate on Cluster States

In measurement based quantum computing, according to R. Raussendorf, Hadamard Gate can be realized by five qubit cluster state, where the first qubit is measured in X basis and the following three are measured in Y basis. However, even though I…
Taylan Fırat
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Equivalence of circuits in measurement-based QC

I am looking at Slide 40 from this deck. It is claimed that the circuits 1 to 4 are equivalent. I don't understand the step to go from 2 to 3. How does one backpropagate a measurement in the X basis of two qubits through a CZ gate and a Hadamard…
user1936752
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Fault tolerance of MBQC

Is there a proof that measurement-based quantum computation can be fault tolerant under any noise model? Or at least, under any noise model with small enough correlation length?
Yaron Jarach
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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 easily understood by finding logical operators that…
GaussStrife
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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 , but I don't know why the other Xs and…
user23402
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Fault-tolerant correlated measurement on logical qubits

So I have an encoded Bell pair $(|\overline{0}\overline{0}\rangle+|\overline{1}\overline{1}\rangle)$ in CSS code(e.g. Steane code) and I hope to perform stabilizer measurement of $\overline{XX}$ non-destructively. Can I simply perform Shor's style…
AndyLiuin
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Complexity of translation between Measurement Based and Circuit Based with Error Correction

As I know, translation between measurement-based and circuit-based is polynomial, not trivial, and might not be efficient in real time. It behaves this way because given some quantum circuit, we have to choose how to choose qubits in the cluster…
Ron Cohen
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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 either the $X$ or a rotated basis $\{|0\rangle +…
GaussStrife
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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 state. I have been told repeatedly that 2d cluster…
user196574
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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 first qubit of each state in the standard basis…
Blau
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Is the choice of Measurement-based model specific to the hardware technology?

Most photonic hardware providers seem to prefer Measurement-based quantum computing (MBQC) over the gate-based model. Is this due to some limitations of the corresponding hardware technologie? If yes, for which other hardware technologies, is this…
26118in
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How to explain the output as $|-\rangle$

I am a complete newbie to quantum computing and qiskit. I am trying to implement $H$ gate in Measurement-Based QC architecture based on a paper "Qiskit As a Simulation Platform for Measurement-based Quantum Computation". I have added an image of…
user27306
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pennylane: How to carry out MB rotation without CB rotation?

I'm looking at this MBQC tutorial where there's an example that shows that a MB and CB single qubit rotations give the same result. CB version : dev = qml.device("default.qubit", wires=1) @qml.qnode(dev) def RZ(theta, input_state): # Prepare the…
unknown
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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, $g_i$ represents the code stabilizer generator,…
Aparna Gupta
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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 from ordinary MBQC circuits in that they measure…
GaussStrife
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