Questions tagged [bernstein-vazirani-algorithm]

For questions on the Bernstein-Vazirani algorithm.

Filter by
Sorted by
Tagged with
2 votes
1 answer
92 views

Applicability of the Bernstein-Vazirani to different modulus

The Bernstein Vazirani can solve s for f(x) = s(dot product) x mod 2. My question is if its possible to modify this to work for mod 3,4 etc. Is this even possible? Edit: Whats the probability of the ...
user avatar
1 vote
1 answer
67 views

Can the Bernstein-Vazirani algorithm be applied to a remote classical function?

Can the Bernstein-Vazirani algorithm be applied to a remote classical function? As in, a function we are not able to set up an oracle for and is completely classical?
user avatar
  • 33
4 votes
2 answers
93 views

How are Deutsch-Jozsa and Bernstein-Vazirani algorithms a fair comparison to classical ones

In both of these example algorithms, the Classical one is restricted to a single bit of output, while the Quantum one is allowed to use information exposed from multiple bits. There is no question ...
user avatar
1 vote
1 answer
57 views

In the Bernstein-Vazirani algorithm, what is the use of the second Hadamard gate?

In the Bernstein-Vazirani algorithm, what is the use of the second Hadamard gate? What happens if I remove it? Would the algorithm works fine? I read something about it closing the interference.
user avatar
  • 143
3 votes
1 answer
179 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 ...
user avatar
  • 141
1 vote
2 answers
67 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 ...
user avatar
1 vote
1 answer
49 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?
user avatar
3 votes
2 answers
76 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/...
user avatar
  • 45
2 votes
2 answers
140 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 ...
user avatar
2 votes
1 answer
236 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? ...
user avatar
3 votes
2 answers
172 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 ...
user avatar
4 votes
2 answers
162 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 ...
user avatar
2 votes
1 answer
143 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 ...
user avatar
  • 21
1 vote
2 answers
144 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-...
user avatar
3 votes
1 answer
179 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 ...
user avatar
  • 12.3k
1 vote
2 answers
142 views

Bernstein-Vazirani IBMQ error due to probably measurements

I'm using the following piece of python code: ...
user avatar
  • 145
-4 votes
1 answer
123 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?
user avatar
10 votes
1 answer
265 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 ...
user avatar
4 votes
2 answers
197 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 ...
user avatar
  • 153
4 votes
1 answer
231 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 ...
user avatar
  • 181
4 votes
1 answer
355 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 ...
user avatar
  • 43