Questions tagged [continuous-variable]
Continuous-variable quantum computing is a type of quantum computing that makes use of physical observables, like the strength of an electromagnetic field, whose numerical values belong to continuous intervals.
42 questions
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Finding the ground state of a Gaussian Hamiltonian
It is well known (arXiv) in continuous variable (CV) quantum information processing that an $N$-mode CV system whose dynamics are entirely Gaussian can be simulated efficiently with a classical ...
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Why are there fewer algorithms for continuous compared to discrete quantum computation?
Why are there significantly fewer algorithms for continuous quantum computation compared to discrete quantum computation?
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What are the postulates of Continuous Variable Quantum Computing?
I am a computer scientist. When I learned quantum information for the first time (in the circuit model, with qubits), I was presented four postulates that described mathematically (i) the possible ...
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How to update angles
I am struggling to understand the concept of updating angles in a parameterized algorithm.
Assume I have an objective function $x^2+1$ that I want to optimize using QAOA which can handle continuous ...
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'Continuous' (Classical) Cost function for QAOA
I have some combinatorial optimization problems which I would like to analyze using QAOA. These problems are coming from various applications in scientific computing such as solving PDEs. Some of ...
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Variational Algorithms - Is there a way to avoid discontinuities in optimal variational parameters?
Often algorithms utilize an ansatz $V(a)$ and rely on a classical optimization scheme over a Hamiltonian loss function $L(V(a))$ in order to find the optimal parameters $a$.
Due to many factors such ...
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I am optimising a variational quantum circuit to learn a distribution $p(x)$, but it doesn't converge over a training set $\mathcal{X}$?
I am training a variational quantum circuit to learn distributions: given data $s(\vec{\lambda})$, what is the probability distribution for the parameterisation $\vec{\lambda}$, i.e. the posterior ...
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QuTiP, Continuous variable systems: Calculating the expectation value of an operator from the covariance matrix
Let's say I have the covariance matrix for a 4-mode system, $\sigma$, which is an $8 \times 8 $ matrix (the first moments are zero). I want to calculate the expectation value for an operator, for ...
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How to translate between continuous variable model and discrete model?
If I understand correctly, the discrete and continuous variable (CV) version of quantum computation are equivalent. However, the continuous aspect of the CV model makes me wonder to what extent can ...
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What is the difference between CV QKD and DV QKD?
I know what QKD is, as a concept but I recently found papers mentioning continuous-variable quantum key distribution , and discrete-variable quantum key distribution . So I would like to know what is ...
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How are two photons entangled in the Xanadu computer?
I was recently reading about how Xanadu made a scalable, room-temperature-operating quantum computer using photons as qubits (see this link). It said that in the logic gates, it entangles two photons ...
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Is there a way to directly construct controlled gates in continuous variable (CV) quantum computation?
We know that a universal gate set for CV quantum computation is that of squeezing, beam splitters, and some nonlinear gate (e.g. this answer). We also know from Knill, Laflamme, and Milburn that ...
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Is Gaussian boson sampling (used for showing quantum advantage) a subcategory of the continuous variable approach?
I read about the photonic QC Jiŭzhāng that showed quantum advantage by Gaussian boson sampling. I read that boson sampling itself is a sub-universal technique of QC (where they use single-photon ...
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Is continuous-variable quantum computing a model of a quantum universal Turing machine?
In this question of a few days ago, it was raised the question about the similarities or differences between the notion of universality in discrete-variable (DV) quantum computers and continuous-...
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Are there already hypothetical durations of how long a continuous-variable gate would take on a continuous-variable quantum computer?
I've heard that you run up against the very large constant factors when comparing run times of quantum and classical computers -- things simply take much longer in a carefully controlled quantum setup ...
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What is the explicit action of the non-linear gate in CV quantum computing on the quadratures?
In this excellently answered question 'How are gates implemented in a continuous-variable quantum computer?' the typical gates for CV quantum computing were listed and described. In particular for ...
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What types of quantum systems use infinite values?
Background
I am curious to learn more about any work that has been done regarding quantum systems that deal with infinite values. I am primarily interested in photonic quantum computing; however I am ...
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What is the mean value of displacement operator for the coherent state?
Can anyone help me to find the mean value of the displacement operator $$D(\alpha) = \exp( \alpha a^\dagger -\alpha^* a)$$ for a Coherent State $\left|\beta\right> = D\left(\beta\right)\left|0\...
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Does a Wigner function uniquely determine a quantum state?
We know that the Wigner function of a Gaussian quantum state is (up to a constant) a Gaussian distribution. The first moment and the covariance of this distribution uniquely specify a quantum state. ...
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Are qubits preferred over qumode, and if so, why?
Qubit and qumode are different forms of quantum computation. But most existing quantum computers/chips seems to be of discrete variables. I heard that a group chose qubit for a quantum optical ...
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Is "probabilitistic,universal, fault tolerant quantum computation" possible with continuous values?
It seems to be a widely held belief within the scientific community that it is possible to do "universal, fault-tolerant" quantum computation using optical means by following what is called "linear ...