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Qubit Coherence Times (T₁, T₂, T_ϕ) & Dephasing Rate Calculator

Easily calculate and compute qubit coherence times (t₁, t₂, t_ϕ) & dephasing rate calculator with accurate equations, live formulas, and expert guidance.

Longitudinal decay time from |1⟩ to |0⟩.

Ramsey or Hahn-echo transverse coherence time (must be <= 2*T1).

Calculated Result
261.3 µs

Pure Dephasing T_ϕ

Pure Dephasing T_ϕ

261.3 µs

Pure Dephasing Time T Phi Us

261.3

Relaxation Rate Gamma1 Khz

10.5

Dephasing Rate Gamma2 Khz

9.1

Pure Dephasing Rate Gamma Phi Khz

3.8

261.3 — µs

Calculation Breakdown

  1. Applied FormulaDecomposes qubit transverse decoherence rate (1/T₂) into longitudinal energy dissipation (1/2T₁) and pure phase drift (1/T_ϕ) for superconducting, spin, and trapped-ion qubits.\frac{1}{T_2} = \frac{1}{2T_1} + \frac{1}{T_\phi}

Qubit Coherence Times Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.065131196261Pure Dephasing T_ϕ

What Is the Qubit Coherence Times (T₁, T₂, T_ϕ) & Dephasing Rate Calculator?

This tool computes qubit coherence times (t₁, t₂, t_ϕ) & dephasing rate calculator with high precision arithmetic.

How Does the Qubit Coherence Times (T₁, T₂, T_ϕ) & Dephasing Rate Calculator Work?

Decomposes qubit transverse decoherence rate (1/T₂) into longitudinal energy dissipation (1/2T₁) and pure phase drift (1/T_ϕ) for superconducting, spin, and trapped-ion qubits.

Qubit Coherence Times (T₁, T₂, T_ϕ) & Dephasing Rate Calculator Formula & Variables

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

1T2=12T1+1Tϕ\frac{1}{T_2} = \frac{1}{2T_1} + \frac{1}{T_\phi}

Decomposes qubit transverse decoherence rate (1/T₂) into longitudinal energy dissipation (1/2T₁) and pure phase drift (1/T_ϕ) for superconducting, spin, and trapped-ion qubits.

How to Use the Qubit Coherence Times (T₁, T₂, T_ϕ) & Dephasing Rate Calculator

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

Step-by-Step Example Calculation

Qubit Coherence Times (T₁, T₂, T_ϕ) & Dephasing Rate Calculator Example

Input Values:

energyRelaxationTimeT1Us:95.0
totalDephasingTimeT2Us:110.0
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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