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Qubit Relaxation & Pure Dephasing (T1, T2, Tφ) Calculator

Easily calculate and compute qubit relaxation & pure dephasing (t1, t2, tφ) calculator with accurate equations, live formulas, and expert guidance.

Energy relaxation lifetime.

Total spin coherence time (T2 <= 2 * T1).

Time duration of idle evolution.

Calculated Result
233.8 μs

Pure Dephasing Time (T_φ)

Pure Dephasing Time (T_φ)

233.8 μs

Pure Dephasing Time Tphi Us

233.8

Coherence Retention Fraction

0.9001

Population Decay Fraction

0.8825

Coherence Status

Dephasing Dominated

233.8 — μs

Calculation Breakdown

  1. Applied FormulaExtracts the pure dephasing time T_φ from measured energy relaxation T1 and transverse coherence T2, enforcing the fundamental 2·T1 physical limit.\rho_{01}(t) = \rho_{01}(0) e^{-t / T_2}, \quad \rho_{11}(t) = \rho_{11}(0) e^{-t / T_1}

Qubit Coherence T1 & T2 Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.058117175234Pure Dephasing Time (T_φ)

What Is the Qubit Relaxation & Pure Dephasing (T1, T2, Tφ) Calculator?

This tool computes qubit relaxation & pure dephasing (t1, t2, tφ) calculator with high precision arithmetic.

How Does the Qubit Relaxation & Pure Dephasing (T1, T2, Tφ) Calculator Work?

Extracts the pure dephasing time T_φ from measured energy relaxation T1 and transverse coherence T2, enforcing the fundamental 2·T1 physical limit.

Qubit Relaxation & Pure Dephasing (T1, T2, Tφ) Calculator Formula & Variables

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

ρ01(t)=ρ01(0)e−t/T2,ρ11(t)=ρ11(0)e−t/T1\rho_{01}(t) = \rho_{01}(0) e^{-t / T_2}, \quad \rho_{11}(t) = \rho_{11}(0) e^{-t / T_1}

Extracts the pure dephasing time T_φ from measured energy relaxation T1 and transverse coherence T2, enforcing the fundamental 2·T1 physical limit.

How to Use the Qubit Relaxation & Pure Dephasing (T1, T2, Tφ) Calculator

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

Step-by-Step Example Calculation

Qubit Relaxation & Pure Dephasing (T1, T2, Tφ) Calculator Example

Input Values:

longitudinalRelaxationT1Us:80.0
transverseCoherenceT2Us:95.0
elapsedCircuitTimeUs:10.0
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required μs.

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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