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Newest 'applications' Questions - Quantum Computing Stack Exchange
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Learn more about TeamsQuestions tagged [applications]
For questions asking about applications of quantum computers to solve practical problems.
66 questions
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Other Hamiltonian Simulation Use Cases than Quantum Chemistry
Quoting Montanaro's quantum algorithm review :
Quantum (Hamiltonian Simulation) is the simulation of physical systems by mapping
their Hamiltonian to that of a set of qubits in order to extract some ...
2
votes
1
answer
97
views
Did Google prepare a time crystal or did they simulate a quantum system behaving like a time crystal?
The additional question on How can time crystals be useful in qRAM design? warrants it's own question. I'm moving it here.
2
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0
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33
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VQE applications which use the Pauli strings containing {I, X, Y, Z}
VQE is a quantum-classical hybrid algorithm which goal is to find the ground state of a Hamiltonian. The most well-known application of VQE is for chemistry simulation. A chemistry simulation can be ...
12
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0
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347
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Are there any known or obvious practical applications for good solutions to the optimal polynomial intersection problem?
I learned from Aaronson's blog about a recent preprint by Jordan, Shutty, Wootters, (our very own) Zalcman, Schmidhuber, King, Isakov, and Babbush that provides an efficient quantum algorithm to give ...
1
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0
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128
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Are there any instances of the "Lights Out" puzzle only solvable with square-root-of-NOT gates?
TL/DR: Can we solve a classically unsolvable instance of "Lights Out" when the lightbulbs neighboring the switch that we flip see a $\sqrt X$ gate, instead of being fully negated? If so, ...
1
vote
0
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129
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Could a quantum walk easily traverse Rush-Hour type puzzles?
I was staring at a Rush-Hour type puzzle recently and I began to wonder if any such puzzles are amenable to a continuous-time quantum walk. The entrance and exit vertex are well-defined; at each stage ...
1
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0
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54
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Can Wang's effective resistance algorithms be used on Graph Isomorphism related problems?
Given a large, oracularly defined graph $\Gamma=(V,E)$, Guoming Wang has a paper describing a couple of quantum algorithms for the neat problem of determining the effective resistance between two ...
7
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1
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446
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Anything in between quadratic and exponential speedups?
Question
There exist a handful of proven quadratic quantum speedups (some examples include [1-3]) and even a few proven exponential quantum speedups (some examples include [4-6]). But there seems to ...
1
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0
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46
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What are problems so computationally difficult that they'll likely only be solved with quantum computers? [duplicate]
Of course, there are the exceedingly well-known examples of this, eg. breaking RSI encryption, possibly protein folding, etc. What are some more obscure or overlooked ways that the greater computing ...
5
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0
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105
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How useful is it to know the ground state energy of an arbitrary $k$-local Hamiltonian, if Nature herself can never find such energy?
We know that the $2$-local Hamiltonian problem is (promise) QMA-complete, which under the reasonable assumption that BQP$\subsetneq$QMA implies that no fast quantum algorithm exists to determine the ...
11
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2
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3k
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Are there any uses for Shor's algorithm other than breaking public key cryptography
This question may be slightly opinion based, so I apologise if this is the incorrect place to ask.
My question is, is there any use for Shor's integer factorisation algorithm other than for breaking ...
4
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1
answer
702
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What are the practical applications of quantum computing in engineering by the year 2030?
Are there any engineering problems that quantum computing can solve or simulate, and demonstrate a real advantage over conventional computing by the year 2030?
My primary interest is in the business ...
2
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0
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71
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Can we easily find the ground states for one-dimensional ANNNI-like Ising models?
The Hamiltonian for a simple one-dimensional Ising model on a finite (linear) chain of $L$ spin-half particles might be:
$$H = -J \sum_{i=0}^{L-1} \sigma_i^z \sigma_{i+1}^z.\tag{1}$$
The interactions ...
4
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0
answers
379
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Is the Clifford hierarchy particularly useful beyond the third-level?
It is well known that the first three levels of the Clifford hierarchy (over $n$-qubits) $C_1, C_2, C_3, \dots, C_n, \dots $ correspond to
$$C_1 \equiv \text{Pauli group}$$
$$C_2 \equiv \text{Clifford ...
2
votes
0
answers
120
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Is an application of the growth of the number of $k$-dimensional stabilser codes known, where $k \ge 1$?
For the case when $k=0$, that is, when the stabiliser code is (in fact) a stabiliser state, then many applications are known.
Some of them are listed below.
Resource theory of magic: measures of ...
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