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

    Jan 12, 2019 · Don't get misled by something saying it requires order something. You can't use that to calculate gate counts or numbers of qubits, because (i) there are arbitrary constants that are …

  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. cryptography - Happy 30th Anniversary to Shor's Algorithm! How ...

    Apr 18, 2024 · Shor's algorithm dropped 30 years ago sometime in April, 1994. Peter Shor has given many wonderful accounts of the early history of the field and of what sparked his particular interest. …

  4. 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.

  5. 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, 4 months ago Modified 2 years, 4 months ago

  6. factorization - How to pick initial values for Shor's algorithm ...

    Nov 12, 2024 · How to pick initial values for Shor's algorithm? Ask Question Asked 1 year ago Modified 1 year ago

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

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

  8. How exactly does modular exponentiation in Shor's algorithm work?

    Feb 9, 2019 · Shor's paper was rightfully light on details on how modular exponentiation would be implemented, but his argument was effectively "because there's a classically fast solution to modular …

  9. Qiskit textbook: Shor's algorithm - Quantum Computing Stack Exchange

    The Qiskit textbook shows the following circuit for implementing the phase $(\\frac{s}{r})$ estimation stage of Shor's algorithm for factorizing 15: My understanding is that the register of qubits ...

  10. Why is quantum Fourier transform required in Shor's algorithm?

    Feb 7, 2019 · I’m currently studying the Shor’s algorithm and am confused about the matter of complexity. From what I have read, the Shor’s algorithm reduces the factorization problem to the …