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Questions tagged [quantum-parallelism]

The idea that a quantum computer can simultaneously explore many possible solutions to a problem since quantum memory register can exist in a superposition of states, each component of this superposition may be thought of as a single argument to a function. A function performed on the register in a superposition of states is thus performed on each of the components of the superposition, but this function is only applied one time.

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Generalizing quantum parallelism to bits or qubits

On pg. 31 in Nielsen and Chuang, it's said that: This procedure can easily be generalized to functions on an arbitrary number of bits, by using a general operation known as the Hadamard transform, or ...
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Why does the output for $y$ have to be $y ⊕ f(x)$ in Quantum parallelism?

For the following Quantum parallelism algorithm: Why does the output for $y$ have to be $y ⊕ f(x)$ for the algorithm to work? Why can't it be anything else, such as $f(x)$ only or $f(y)$ etc?
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Intuition for why the normalization for states in quantum parallelism is the same

On page 31 of Quantum Computation and Quantum information by Nielsen and Chuang, it is said that: Consider the circuit shown in Figure 1.17, which applies $U_f$ to an input not in the computational ...
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Is it currently more cost effective/efficient to run a general purpose parallel algorithm on an accelerated quantum simulator or on CPUs?

Quantum simulation is advancing and I'm wondering if now or in the future there is a point where its more cost effective and efficient to run general purpose parallel algorithms (e.g. with a mix of ...
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Quantum parallelism and Deutsch's algorithm - what is $U_f$ really? [closed]

I'm trying to understand quantum parallelism ideas leading the Deutsch's algorithm. The circuit in question is I understand that we end up with $$|\psi_3 \rangle = \pm | f(0) \oplus f(1) \rangle \...
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How do qubits in quantum computers work? [closed]

I was reading about quantum computers and qubits. While a classical bit can be either 0 or 1, a qubit can be 0 or 1 or both at the same time (can it be none too?). But how is this useful at all? If it ...
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Splitting a quantum task between multiple devices

I've been wondering, are there any known tasks/algorithms that can be performed on 1 quantum device, but also be somehow modified and split between several smaller devices? The thought behind the idea,...
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How one would implement the circuit to create superpositions corresponding to efficiently integrable probability distributions?

See article here: https://arxiv.org/abs/quant-ph/0208112 There are two steps in this procedure that I am curious about. First off, they suppose one can construct a circuit which efficiently performs ...
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Is Deutsch 1985b wrong about and Quantum Parallelism?

"Quantum theory, the Church-Turing principle and the universal quantum computer" (Deutsch 1985b) appears to introduce the term of "quantum parallelism" (the term is not in "...
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Building a state with parallel execution

I'm trying to implement the main algorithm described in the Quantum Recommendation Systems paper. In order to do this, I have to create a quantum state $|x\rangle$ corresponding to a real vector ...
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Understanding Steps in Deutsch's Algorithm

I am currently working my way through the book Quantum Computation and Quantum Information by Chuang and Nielsen. So far it has been a joy to read, however I am hung up on a couple aspects of quantum ...
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Does the massive parallelization in Quantum computing imply parallelization of input (as opposed to Turing machine)?

Being a newbie in this field, I'm trying to understand what types of real-life workloads are suitable for migrating to Quantum computers. Intuitively, it seems to me that if a Quantum computer ingests ...
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Can quantum parallelism be turned on and off?

The qubit is able to take on multiple states at once, unlike the bit. This property I know is superposition, but is this property perpetual (always on) or optional (controlled to be on or off only ...
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Which algorithm in quantum computing can be implemented for a HPC system?

I am new to quantum computing and I wanted to do a project for one of my classes where I study a specific algorithm from the field and then insert parallelism in it so it can be executed more ...
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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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Effects of quantum computing on parallel universes

I have heard a few times that one way of describing quantum computers is that they essentially use the computing power of their counterparts in alternate realities that they access through ...
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Can I imagine quantum computers as working via parallel computing?

Beginners question, so please stay on the beginner's level with possible answers. I know very well what a qubit, superposition, and entanglement is. Also, I am familiar with several physical ...
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Is the intuition of quantum parallelism always correct?

I recently read in Section 7.5.2 of Quantum Computing: A Gentle Introduction by Eleanor Rieffel and Wolfgang Polak a section in which they criticize the view of quantum parallelism in quantum ...
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How does quantum function parallelism work?

Quantum parallelism is usually introduced from CNOT schema, saying that there it results, calling $ |c\rangle $ the control and $|t\rangle$ the target $$ |0\rangle |t\rangle \implies |0\rangle |t\...
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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 ...