Skip to main content

Quantum Phase Estimation (QPE) Precision & Ancilla Register Calculator

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

Number of binary bits of phase accuracy 2⁻ⁿ.

Target probability of measuring exact phase approximation.

Calculated Result
12 qubits

Total Ancilla Qubits

Total Ancilla Qubits

12 qubits

Total Required Ancilla Qubits T

12

Core Precision Bits N

8

Extra Confidence Buffer Bits E

4

Phase Resolution Radians

2.454e-2

12 — qubits

Calculation Breakdown

  1. Applied FormulaSizes the ancilla register count required for Quantum Phase Estimation (QPE) algorithms (used in quantum chemistry, materials simulation, and Shor’s algorithm) to guarantee phase accuracy.t = n + \lceil \log_2(2 + 1/(2\epsilon)) \rceil

QPE Circuit Precision Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.03.06.09.012Total Ancilla Qubits

What Is the Quantum Phase Estimation (QPE) Precision & Ancilla Register Calculator?

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

How Does the Quantum Phase Estimation (QPE) Precision & Ancilla Register Calculator Work?

Sizes the ancilla register count required for Quantum Phase Estimation (QPE) algorithms (used in quantum chemistry, materials simulation, and Shor’s algorithm) to guarantee phase accuracy.

Quantum Phase Estimation (QPE) Precision & Ancilla Register Calculator Formula & Variables

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

t=n+⌈log⁡2(2+1/(2ϵ))⌉t = n + \lceil \log_2(2 + 1/(2\epsilon)) \rceil

Sizes the ancilla register count required for Quantum Phase Estimation (QPE) algorithms (used in quantum chemistry, materials simulation, and Shor’s algorithm) to guarantee phase accuracy.

How to Use the Quantum Phase Estimation (QPE) Precision & Ancilla Register Calculator

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

Step-by-Step Example Calculation

Quantum Phase Estimation (QPE) Precision & Ancilla Register Calculator Example

Input Values:

desiredPhaseBitPrecisionN:8.0
desiredSuccessProbabilityPercent:95.0
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.

\n

Explore more tools and calculators in Physics Calculators