Questions tagged [bernstein-vazirani-algorithm]
For questions on the Bernstein-Vazirani algorithm.
17
questions
3
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1answer
160 views
What are quantum algorithms with only one possible outcome with probability equal to one?
I would like to study circuits with only one possible outcome. Quantum phase estimation, Bernstein-Vazirani, and in part Deutsch-Jozsa (for constant functions) come to mind - do you know any other ...
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2answers
44 views
Can there be different gate implementations of same oracle implementation?
I have been reading about Bernstein-Vazirani Algorithm, and it uses what is known as a phase oracle. Basically, it is CNOT gate with several controls attached to the ancilla qubit $|-\rangle$ (it is ...
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1answer
46 views
Worst Case Asymptotic Complexity of Berstein-Vazirani
How would one determine the worst-case asymptotic complexity ($\theta$) of a Bernstein-Vazirani circuit encoding the secret 1111?
2
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1answer
46 views
Bernstein Vazirani Algorithm widget (bv_widget) in the Qiskit documentation
I'm new to quantum computing and Qiskit, so please be patient with me. I'm going through the info on Bernstein Vazirani. Here is the link to the section: https://qiskit.org/textbook/ch-algorithms/...
2
votes
2answers
129 views
What does it mean for a circuit to be a valid instance of the Bernstein-Vazirani problem?
What does it mean for a circuit to be a valid instance of the Bernstein-Vazirani problem? It's not clear to me in the above circuit what the X gate is doing on the $b$ qubit. I guess it's just ...
2
votes
1answer
99 views
How do I construct the oracle for a general Bernstein-Vazirani circuit?
Say I have a secret of length $n$, $s = |x_{n-1}x_{n-2}...x_0 \rangle$. If I want to construct an oracle for this problem would I just insert a CNOT gate on every qubit where the secret's value is 1? ...
2
votes
1answer
116 views
In the Bernstein-Vazirani circuit, if the secret is all 0s, would the oracle just be nothing?
I'm self-studying quantum computing and have gone through the Wikipedia article on the Berstein-Vazirani algorithm and believe that I understand it. I'm looking to verify my understanding and hope ...
4
votes
2answers
93 views
Worked example of Bernstein-Vazirani - understanding bitwise product
From chapter 3.3 or the Qiskit Textbook, I'm trying to follow the worked example of the quantum solution for Bernstein-Vazirani.
I'm having trouble with what I think should be a trivial bit of ...
2
votes
1answer
91 views
Bernstein-Vazirani Gate IBM Q Noise
When running the attached Bernstein-Vazirani gate on IBM Q, with 1024 shots on ibmq_16_melbourne, I receive the expected result of "00110" with 26.563% success. I notice that there is a lot ...
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2answers
126 views
Does anyone know of Qiskit source code for a Bernstein Vazirani grover's algorithm for N bits? If so please share
I'm just getting started in the space of quantum computing, I've built a 5 qubit program for Bernstein-Vazirani, but am trying to figure out how to go about building an N bit version of Bernstein-...
2
votes
1answer
130 views
Speed up in Bernstein-Vazirani algorithm and Gottesman-Knill theorem
The Bernstein-Vazirani problem:
Let $f$ be a function from bit strings of length $n$ to a single bit,
$$f: \{ 0, 1\}^n \to \{0, 1\} $$
thus all input bit strings $x \in \{0,1\}^n$. There exists a ...
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2answers
108 views
Bernstein-Vazirani IBMQ error due to probably measurements
I'm using the following piece of python code:
...
-4
votes
1answer
116 views
Bernstein-Vazirani algorithm in IBM Q Experience [closed]
I have composed the gate with IBM Q Experience, but I do not know how to set the answer.
Please tell me how to set it?
10
votes
1answer
244 views
What are examples of non-oracular versions of famous oracular problems?
Most quantum algorithms proposed, including Deutsch-Jozsa, Simon's, Bernstein-Vazirani etc, involve querying an oracle. If I understand correctly, the speedups depend on the oracle being efficiently ...
3
votes
2answers
168 views
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 ...
4
votes
1answer
197 views
Deutsch-Jozsa algorithm as a generalization of Bernstein-Vazirani
It is known that both algorithms use the same gates: $H^{\oplus n}U_fH^{\oplus n}$.
After the circuit, the qubits are in the state $\sum_y \left( \sum_x (-1)^{f(x)+xy} \right) |y\rangle $.
In DJ's ...
4
votes
1answer
309 views
Is the Bernstein-Vazirani algorithm dependent on the specific behavior of the oracle?
My understanding of the Bernstein-Vazirani algorithm is as follows:
We have a black box oracle with secret string $s$. The black box does
$$f(x) =s\cdot{x}=(\sum_1^n s_i\cdot{x_i})$$
We run each ...
