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Unanswered Questions

241 questions with no upvoted or accepted answers
7 votes
0 answers
352 views

Solving linear system $Ax=b$ with exponential speed-up via binary optimization?

The main disadvantage of HHL algorithm for solving $A|x\rangle = |b\rangle$ is that exponential speed-up is reached only in case we are interested in value $\langle x|M|x\rangle$, where $M$ is a ...
7 votes
0 answers
209 views

What do "$i$-th basic network", "quantum multiplexers" and "quantum parallelism" mean in this context? How are they beneficial?

I have been reading the paper A quantum-implementable neural network model (Chen et al., 2017) for a few days now, but failed to understand how exactly their algorithm offers a speedup over the ...
6 votes
0 answers
278 views

Quantum State Tomography Implementation in IBMQ

I am working to understand quantum state tomography, specifically using the algorithm presented in PRL 108, 070502. This paper is referenced in IBMQ implementations of QST, both in old deprecated ...
6 votes
0 answers
253 views

Is VQA quicker than classical machine learning?

Variational Quantum Algorithm (VQA) is a kind of quantum algorithm corresponding to classical machine learning. Unlike the square speed up of Grover's algorithm, the circuit in VQA does not seem to ...
6 votes
0 answers
371 views

Calculating gradient of a gate using Parameter shift rule

I've been following this website to check out how parameter-shift works for calculation of gradients for backpropagation in Variational Quantum Machine Learning Circuits Most of it made makes sense ...
6 votes
0 answers
141 views

Bell State 11 not working for parity curve

I am currently writing a script to automate the creation of parity curves for a 2 qubit bell state and then calculate fidelity and proving entanglement from that (inspired by this paper). It was going ...
5 votes
0 answers
107 views

Can we beat Grover for derangement problems?

Recall that a derangement of $N$ objects is (isomorphic to) a permutation of $\{1,\cdots, N\}$ that has no fixed point. The probability that a random permutation $f$ is a derangement rapidly reaches $\...
5 votes
0 answers
271 views

How to get the compiled circuits and measurements from a Qiskit Runtime job

I have not been able to find any way to retrieve the compiled circuits and the measurement counts used for a Qiskit Runtime job. This page describes the various error suppression mechanisms available. ...
5 votes
0 answers
119 views

Is there recent research on experimental implementations of Grover's algorithm with more than 5 qubits?

I could only find experimental work on Grover's algorithm upto 5 qubits here. Is there any more recent research for larger database sizes where Grover's algorithm is employed? Is there any known ...
5 votes
0 answers
97 views

Can Grover's algorithm be applied to differential equation solving?

As I understand Grover's algorithm, given the output of a black-box function, can be used to find the corresponding input (or set of inputs if the function is not one-to-one). It is therefore ...
5 votes
0 answers
302 views

How to write the classical algorithm for lights out problem?

I am very new to quantum computing and I have started learning the concepts watching the IBM summerschool videos and trying to solve the IBM quantum challenge problems. One of their problems is ...
5 votes
0 answers
113 views

What is the best way to use loop statements on a quantum computer?

I am interested in solving a time dependent linear partial differential equation of the form $Ax=b$ which, in classical computing, would amount to looping over solutions of $Ax=b$ where $b$ is updated ...
5 votes
0 answers
162 views

Exact functions of a single-iteration Grover Search Algorithm's operators

I'm doing a practice assignment where I'm asked to identify specific features of the Grover Search Algorithm's second operator (picture in post, further on "$Us$"), which mirrors the system relative ...
5 votes
0 answers
160 views

Results from looped experiments on IBM Q different than individual experiments

I'm experiencing an issue while using Qiskit where the counts from a job return vastly different values when ran in a loop or as an array of circuits as opposed to single experiments when run by ...
5 votes
0 answers
733 views

How to build a quantum circuit representing the Ising Model?

Can someone explain to me how to build a quantum circuit representing the Ising Model? I just want to understand how to represent the Ising Model for the purposes of quantum state label classification....

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