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Questions tagged [measurement-based-qc]

For questions about measurement-based quantum computation.

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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 $\...
Blau's user avatar
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2 votes
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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 ...
Blau's user avatar
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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 $\...
upe's user avatar
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3 votes
1 answer
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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 <...
compp's user avatar
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40th Question IBM Sample test

Given this code fragment, what is the probability that the measurement would result in 1? qc = QuantumCircuit(1) qc.rz(3 * math.pi/4, 0) A] 0 B] 0.14645 C] 0.85355 ...
Ritvik Chowdary's user avatar
2 votes
0 answers
38 views

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,...
26118in's user avatar
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1 answer
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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-...
AndyLiuin's user avatar
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How to Correctly Measure All Qubits in a Quantum Circuit?

Description: I'm currently working on a project that involves running quantum circuits as a hybrid job on the aws tensor network simulator 'tn1'. Error on the Cloudwatch logs:...
Neel's user avatar
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How does a local Hadamard gate change the cluster state?

I was reading a paper on a fault-tolerant quantum computation protocol based on tree cluster states. The author said that by applying a local Hadamard gate to two of the qubits in a 4 GHZ state, we ...
physics22's user avatar
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Can you apply a CNOT gate on qubits in MBQC that aren´t next to each other?

Is it possible to apply a CNOT gate in MBQC to qubits that aren´t next to each other?
Manuel's user avatar
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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 ...
Taylan Fırat's user avatar
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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-...
user27306's user avatar
3 votes
2 answers
169 views

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 ...
user1936752's user avatar
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2 votes
2 answers
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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 ...
Ron Cohen's user avatar
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Is the topological cluster state a single-shot stabilizer code?

I saw in the literature claims that no single-shot 3D stabilizer code is known and that only 3D subsystem codes are known to have this feature. However, isn't the topological cluster state (also known ...
Yaron Jarach's user avatar
1 vote
1 answer
124 views

Using Pymatching to decode lattice surgery process

I want to simulate the error correction procedure for a CNOT gate on surface code and RHG cube, made by the lattice surgery process of "merge and split". In this case, the code has an H-...
Yaron Jarach's user avatar
1 vote
2 answers
70 views

Which feedback is *necessary* for surface-code based and measurement based quantum computing?

It is clear that a Clifford feedback is necessary for performing a non-Clifford gate with measurement-based quantum computing (for example with Lattice surgery in surface codes). But, given many ...
Yaniv Kurman's user avatar
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1 answer
119 views

perform a SWAP measurement using local operations and classical feedback

I am interested in performing a SWAP measurement, namely, measure 2 qubits and project their state onto either the triplet state manifold $\{|00\rangle, |11\rangle, |01\rangle + |10\rangle\}$ or the ...
Lior's user avatar
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1 vote
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Is this generalized 2D cluster state still a universal resource?

Let $G = (V,E)$ be a graph that defines the graph state $$ |G\rangle = \prod_{(i,j)\in E} CZ_{i,j}|+\rangle^{\otimes |V|}. $$ Alternatively, we can write $$ | G \rangle = \sum_{x \in \{0,1\}^{|V|}} ...
trillianhaze's user avatar
2 votes
2 answers
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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 : ...
unknown's user avatar
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4 votes
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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's user avatar