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Linear Cross-Entropy Benchmarking (Linear XEB) Fidelity Calculator

Easily calculate and compute linear cross-entropy benchmarking (linear xeb) fidelity calculator with accurate equations, live formulas, and expert guidance.

Number of active qubits evaluated in random circuit sampling.

Average of ideal theoretical probabilities for measured bitstrings.

Calculated Result
0.43 fidelity index (0 to 1)

Linear XEB Fidelity

Linear XEB Fidelity

0.43 fidelity index (0 to 1)

Linear Xeb Fidelity

0.4336

Linear Xeb Fidelity Pct

43.36

Hilbert Space Dimension Scientific

4.10e+3

Uniform Noise Mean Probability

2.441e-4

0.43 — fidelity index (0 to 1)

Calculation Breakdown

  1. Applied FormulaCalculates the Linear Cross-Entropy Benchmarking (Linear XEB) fidelity used in quantum computational supremacy demonstrations with random quantum circuits.F_{\text{XEB}} = 2^n \left( \frac{1}{N_s} \sum_{j=1}^{N_s} P_{\text{ideal}}(x_j) \right) - 1

Linear XEB Fidelity Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.00.30.50.81.0Linear XEB Fidelity

What Is the Linear Cross-Entropy Benchmarking (Linear XEB) Fidelity Calculator?

This tool computes linear cross-entropy benchmarking (linear xeb) fidelity calculator with high precision arithmetic.

How Does the Linear Cross-Entropy Benchmarking (Linear XEB) Fidelity Calculator Work?

Calculates the Linear Cross-Entropy Benchmarking (Linear XEB) fidelity used in quantum computational supremacy demonstrations with random quantum circuits.

Linear Cross-Entropy Benchmarking (Linear XEB) Fidelity Calculator Formula & Variables

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

FXEB=2n(1Ns∑j=1NsPideal(xj))−1F_{\text{XEB}} = 2^n \left( \frac{1}{N_s} \sum_{j=1}^{N_s} P_{\text{ideal}}(x_j) \right) - 1

Calculates the Linear Cross-Entropy Benchmarking (Linear XEB) fidelity used in quantum computational supremacy demonstrations with random quantum circuits.

How to Use the Linear Cross-Entropy Benchmarking (Linear XEB) Fidelity Calculator

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

Step-by-Step Example Calculation

Linear Cross-Entropy Benchmarking (Linear XEB) Fidelity Calculator Example

Input Values:

qubitRegisterSizeN:12
empiricalProbSumAverage:0.00035
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required fidelity index (0 to 1).

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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