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Calcimator

Quantum Computing Calculator

Complete quantum computing analysis. Qubit states, quantum gates, algorithm complexity, error correction, and hardware platforms.

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Step 1 of 1

How to Use This Calculator
  1. Select Algorithm Type (Grover's search, Shor's factoring, etc.) and enter Problem Size to compare quantum vs. classical complexity.
  2. Use the Error Correction section: set Error Rate and choose a code type (Surface code, Steane, etc.) to see Physical Qubits required per logical qubit.
  3. Enter Coherence Time (µs) and Number of Qubits for the hardware platform to estimate achievable circuit depth.
  4. Read the Grover speedup (O(√N) vs. O(N)) or Shor exponential advantage to contextualize the quantum speedup.
  5. Use the measurement probability chart to verify qubit state readout probabilities after applying gate sequences.

What each input means

Topic
Calculation mode to use.
Theta θ (0 to π)
Polar angle on Bloch sphere
Phi φ (0 to 2π)
Azimuthal angle on Bloch sphere
Gate Type
Type of quantum gate.
Physical Error Rate
Per gate error probability

How this is calculated

Formula

|ψ⟩ = cos(θ/2)|0⟩ + e^(iφ)sin(θ/2)|1⟩ | T = O(√N) Grover | Physical = d² × Logical

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    Topic = 0, Theta θ (0 to π) = 0, Phi φ (0 to 2π) = 0, Gate Type = 0 = 13 input(s) provided
  2. Calculate State Type
    State Type
    |0⟩ (North pole) = |0⟩ (North pole)
  3. Calculate P
    P
    1 = 1%
  4. Calculate P
    P
    0 = 0%

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