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Quantum Qubit State Space Calculator

Calculate the size of the quantum state space for N qubits and the classical memory needed to simulate it.

Your inputs

Change any value to update the result instantly.

Technology & Computing

Number of quantum states

1,07,37,41,824

Classical memory needed

16 GB

Classical memory needed

0.0156 TB

Qubits

30

Simulating just 50 qubits classically would require petabytes of memory, illustrating why quantum computers scale differently.

Formula and working

States = 2^N; Classical memory ≈ 2^N × 16 bytes (complex amplitude per state)

  1. 1

    Collect the inputs

    Number of qubits (N) = 30; Bytes per complex amplitude = 16

  2. 2

    Apply the formula

    States = 2^N; Classical memory ≈ 2^N × 16 bytes (complex amplitude per state)

  3. 3

    Result

    Number of quantum states = 1,073,741,824

Frequently asked questions

Important limitation

This is an educational estimate based only on the values and formula shown. Verify current rates, rules, units, and professional standards before relying on the result. It is not personalized financial or investment advice.

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