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  1. How many logical qubits are needed to run Shor's algorithm efficiently ...

    Jan 12, 2019 · The question is about how many logical qubits it takes to implement Shor's algorithm for factoring an integer N N of bit-size n n, i.e., a non-negative integer N N such that 1 ≤ N ≤ 2n−1 1 ≤ N …

  2. Where to find a generic implementation of Shor's algorithm with Qiskit ...

    May 21, 2024 · Since Shor's algorithm was deprecated in Qiskit, I'm wondering where to find a generic implementation. There are some examples over the Internet but factoring of 15 is just hardcoded.

  3. What integers have been factored with Shor's algorithm?

    May 20, 2018 · Shor's algorithm is expected to enable us to factor integers far larger than could be feasibly done on modern classical computers. At current, only smaller integers have been factored. …

  4. Number of qubits in Shor's algorithm circuit?

    Mar 4, 2025 · A very popular way to implement this circuit actually uses 2n + 3 2 n + 3 qubits, as described in S. Beauregard, Circuit for Shor’s algorithm using 2n+3 qubits. But if you are interested …

  5. Why do current large-scale QCs fail to run Shor's algorithm?

    Nov 2, 2023 · Based on this (How many logical qubits are needed to run Shor's algorithm efficiently on large integers (n> 21024 n> 2 1024)?) post, one should be able to run Shor's algorithm for numbers …

  6. What is period finding useful for in Shor's algorithm?

    May 30, 2023 · Shor's algorithm is designed to work faster on a quantum computer since quantum computers run multiple steps simultaneously due to their ability to store qubits in superposition. We …

  7. applications - Are there any uses for Shor's algorithm other than ...

    Sep 15, 2023 · My question is, is there any use for Shor's integer factorisation algorithm other than for breaking public key cryptography. If there isn't, then am I right in thinking that the algorithm becomes …

  8. In Shor's algorithm, what is the exact analysis of its time and ...

    Jul 2, 2023 · In Shor's algorithm, what is the exact analysis of its time and probability complexity? Ask Question Asked 2 years, 6 months ago Modified 2 years, 5 months ago

  9. Does Shor's algorithm imply the existence of the multiverse?

    Mar 2, 2023 · MWI doesn't merely imply Shor's algorithm, it explains it. I don't agree with the assertion that the other interpretations of quantum mechanics simply must have their own interpretation of …

  10. Implementation of Modular Exponentiation Function in Shor's Algorithm

    Jan 3, 2025 · In this paper on the modular exponentiation function of Shor's Algorithm the author mentions creating a special circuit that decomposes the function $f (x)=a^x \mod N$ into