Questions tagged [models]

For questions on theoretical models of quantum computations. Such models may be realistically 'build' in real machines, but not necessarily.

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Unitary matrices and Hamiltonians

I am looking for a proof that any unitary matrix can be written as: $$U = e^{-iH}$$ where $H$ is some Hamiltonian with bounded norm. That is $$||H||_{2} = O(1).$$
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Qiskit function phase_amplitude_damping_error

I am reading about the noise models that can be simulated in Qiskit and I found out the phase_amplitude_damping_error function. I read about it and it seems to be a function that simulates a combined ...
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IBM Q Experience - Can it be used draw out ML inferences? [closed]

Are there Quantum-enhanced Machine Learning algorithms that can be implemented via Qiskit in IBM Q Experience and obtain valuable inferences faster than their classical counterparts from datasets of ...
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Iterative qubit coupled cluster (iQCC) ansatz (Efficient screening procedure)

The paper Iterative Qubit Coupled Cluster approach with efficient screening of generators describes a new screening procedure for generators of the QCC ansatz. The paper states: 'In the absence of ...
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50 views

Screening procedure in an iterative qubit coupled cluster (iQCC) ansatz

The paper Iterative Qubit Coupled Cluster approach with efficient screening of generators describes a new screening procedure for generators of the QCC ansatz. How does one get from defining the ...
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Can We Currently Import Quantum Datasets (Datasets Containing Quantum Data) Onto NISQ-era Quantum Computers?

I'm still investigating the TFQ whitepaper. In one section of the paper, the authors say this with respect to Quantum Datasets In general, [a quantum dataset] might come from a given black-box ...
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46 views

Application Query [closed]

I had written earlier to propose an econometric modeling application that may lend itself to a quantum computing approach, and was asking how best to proceed. The model would be centered around the ...
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1answer
158 views

How to measure one of the qubits in a two-qubit register?

How do I measure the first qubit of an entangled vector, say \begin{pmatrix} 1 \\ -1 \\ 0 \\ 0 \\ \end{pmatrix} is what I get on the end of Deutsch's algorithm. If I get it right, I should now ...
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70 views

How close are we in achieving computation over reals using quantum qubits? [duplicate]

I recently attended a seminar where a professor of quantum cryptography told the audience that one quantum qubit can theoretically store "infinite information". I was very intrigued by this statement, ...
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2answers
228 views

Is quantum parallel search impossible?

Scott Aaronson's blog notably states: Quantum computers would not solve hard search problems instantaneously by simply trying all the possible solutions at once. Is this a statement of a law, as ...
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1answer
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Why do quantum computation models based on open quantum systems receive so little attention?

In almost all research on (universal) quantum computation the common models assumed from the outset are either the quantum circuit model with unitary gates, the measurement-based one-way model or the ...
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Why is the resource theory approach used in quantum information processing?

What are the advantages and applications of using the resource theory approach in QIP ? What specific problems can be solved using in particular this approach ?
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Is there an inherent difference in need for error correction between quantum annealing and gate based methods?

When I read about computing using gate based methods, I mainly read about the difficulties with error rates, circuit depth (and connectivity) and not enough qubits. With computing using quantum ...
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93 views

Aren't reversible logic gates a necessity for efficiently executing quantum algorithms?

The Wikipedia article on logical reversibility says: ...reversible logic gates offered practical improvements of bit-manipulation transforms in cryptography and computer graphics. But I guess ...
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Correspondence between the Topological model and Quantum Circuit model

For example, given the $R$ & $F$ gates and Toric codes for a given problem, how to convert this code into the conventional circuit model and vice versa. From the literature developed, it seems ...
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2answers
142 views

Quantum computing concepts

I am trying to develop a feel for quantum computing at a basic level. I would very much appreciate someone will take a look at the statement below and fix it, since I assume it needs fixing. “...
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Quantum Computing Journals

Can anyone give me a list of different research journals that has quantum computing articles that I can use.
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What good references would you recommend to understand the (continuous-variable) CV model of computation?

If you have good references about the CV model that are understandable from a computer science background, that would be great. If they include numerical examples, that would even be better.
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1answer
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What is continuous quantum register and how it relates to qubits?

I would like to understand what is a continuous quantum register. I know the direct definition is a quantum register that stores a real number defined by an observable with a spectrum consisting of $\...
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2answers
494 views

What exactly are “quantum rotors”?

The Wikipedia entry on the subject is rather short. I am also curious about generalizations of quantum rotors in n-dimensions. An introductory explanation with at least one resource for further ...
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Simplest algorithm for intuitively demonstrating quantum speed-up?

What's the simplest algorithm (like Deutsch's algorithm and Grover's Algorithm) for intuitively demonstrating quantum speed-up? And can this algorithm be explained intuitively? Ideally this would be ...
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What are the pros/cons of Trapped Ion Qubits, Superconducting Qubits and Si Spin Qubits?

Among available qubit technologies for universal quantum computing these 3 come up as promising. NV centers and Majorana qubits also underway but relatively new. I find superconducting qubits and ...
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163 views

Anyon alternatives in topological quantum computing

A topological quantum computer is a theoretical quantum computer that employs two-dimensional quasiparticles called anyons. -Wikipedia Are there other instances of topological quantum computing ...
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1answer
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Chrononic Computing (Time Evolution Systems)

In a recent question about quantum speed-up @DaftWullie says: My research, for example, is very much about "how do we design Hamiltonians $H$ so that their time evolution $e^{-iHt_0}$ creates ...
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Where can I find example circuits to learn from?

I'm relatively new to quantum computing and my goal is to learn how to implement algorithms that I read in papers. While I have found many circuit snippets I have yet to find a repository of examples ...
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Is it possible to simulate a quantum computer in Virtual Reality? If yes, how?

There have been a couple of simulations already made and I recently saw this high performance, hardware accelerated quantum computer simulator QCGPU and started to wonder about how to simulate quantum ...
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633 views

What are the fundamental differences between trapped ion quantum computers and other architectures?

There are many different ways to build quantum computers, such as superconducting qubits, quantum dots, and ion traps. What I would like to understand is why some universities and research ...
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2answers
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What is the difference between quantum annealing and adiabatic quantum computation models?

From what I understood, there seems to be a difference between quantum annealing and adiabatic quantum computation models but the only thing I found on this subject implies some strange results (see ...
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Does the Curry-Howard correspondence have a quantum-specific type system?

In Wikipedia we can read that the Curry–Howard correspondence is a correspondence between formal proof calculi and type systems for models of computation. In particular, it splits into two ...
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576 views

In a Quantum Turing Machine, how is the decision to move along the memory tape made?

Let, for a Quantum Turing machine (QTM), the state set be $Q$, and the alphabet of symbols be $\sum=\{0,1\}$, which appear at the tape head. Then, as per my understanding, at any given time while the ...
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899 views

How does topological quantum computing differ from other models of quantum computing?

I've heard the term Topological Quantum Computer a few times now and know that it is equivalent to quantum computers using circuits with respect to some polynomial-time reduction. However, it is ...
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1answer
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Which theoretical models for quantum computing are polynomial-time equivalent? [duplicate]

There are different theoretical models for quantum computing like the circuit model or the model of adiabatic quantum computers. Between which of these models exist polynomial-time reductions? Note ...
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2answers
274 views

Who built the first quantum computer using at least two qubits?

In my previous question I asked who invented a quantum computer using qubits. As a follow-up to this question I want to ask who built the first quantum computer using at least two qubits. During my ...
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2answers
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Why can't quantum annealing be described by a gate model?

This is a question I was inspired to ask based on this question, which notes that quantum annealing is an entirely different model for computation than the usual circuit model. I've heard this before, ...
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6answers
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What are the models of quantum computation?

It seems that quantum computing is often taken to mean the quantum circuit method of computation, where a register of qubits is acted on by a circuit of quantum gates and measured at the output (and ...