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Quantum Phase Estimation (QPE) Register Bits & Success Probability Calculator

Easily calculate and compute quantum phase estimation (qpe) register bits & success probability calculator with accurate equations, live formulas, and expert guidance.

Number of accurate binary fraction digits in phase θ = 0.θ_1 θ_2 ... θ_n.

Probability of measuring the closest binary phase state.

Calculated Result
12 qubits

Required Counting Qubits (t)

Required Counting Qubits (t)

12 qubits

Total Required Counting Qubits T

12

Extra Ancilla Qubits For Error Suppression

4

Phase Resolution Degrees

1.4063

Controlled Unitary Applications

4095

12 — qubits

Calculation Breakdown

  1. Applied FormulaSizes the ancilla counting register for Quantum Phase Estimation (QPE) ensuring target eigenvalue phase precision with bounded error probability ε.t = n + \left\lceil \log_2 \left( 2 + \frac{1}{2\varepsilon} \right) \right\rceil

Quantum Phase Estimation QPE Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.03.06.09.012Required Counting Qubits (t)

What Is the Quantum Phase Estimation (QPE) Register Bits & Success Probability Calculator?

This tool computes quantum phase estimation (qpe) register bits & success probability calculator with high precision arithmetic.

How Does the Quantum Phase Estimation (QPE) Register Bits & Success Probability Calculator Work?

Sizes the ancilla counting register for Quantum Phase Estimation (QPE) ensuring target eigenvalue phase precision with bounded error probability ε.

Quantum Phase Estimation (QPE) Register Bits & Success Probability Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

t=n+⌈log⁡2(2+12ε)⌉t = n + \left\lceil \log_2 \left( 2 + \frac{1}{2\varepsilon} \right) \right\rceil

Sizes the ancilla counting register for Quantum Phase Estimation (QPE) ensuring target eigenvalue phase precision with bounded error probability ε.

How to Use the Quantum Phase Estimation (QPE) Register Bits & Success Probability Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

Quantum Phase Estimation (QPE) Register Bits & Success Probability Calculator Example

Input Values:

desiredPrecisionBitsN:8
successProbabilityTarget:0.95
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required qubits.

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

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