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Qubit Decoherence Lifetime (T₁ Relaxation, T₂ Dephasing & T₂* Ramsey) Calculator

Easily calculate and compute qubit decoherence lifetime (t₁ relaxation, t₂ dephasing & t₂* ramsey) calculator with accurate equations, live formulas, and expert guidance.

Energy relaxation time from |1⟩ to |0⟩ ground state.

Phase diffusion time without energy loss.

Calculated Result
68.6 µs

Transverse Dephasing (T₂)

Transverse Dephasing (T₂)

68.6 µs

Transverse Dephasing Time T2 Us

68.6

Maximum Allowed T2 Limit Us

160

Coherent Operations Per Lifetime

3429

Decoherence Bottleneck

Pure Phase Dephasing T_phi Limited (Flux/charge 1/f noise)

68.6 — µs

Calculation Breakdown

  1. Applied FormulaCalculates the overall transverse coherence time T₂ from energy relaxation T₁ and pure dephasing T_φ in superconducting, spin, or NV-center qubits.\frac{1}{T_2} = \frac{1}{2T_1} + \frac{1}{T_\phi}, \quad T_2 \le 2T_1

Qubit Decoherence Times Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.017345169Transverse Dephasing (T₂)

What Is the Qubit Decoherence Lifetime (T₁ Relaxation, T₂ Dephasing & T₂* Ramsey) Calculator?

This tool computes qubit decoherence lifetime (t₁ relaxation, t₂ dephasing & t₂* ramsey) calculator with high precision arithmetic.

How Does the Qubit Decoherence Lifetime (T₁ Relaxation, T₂ Dephasing & T₂* Ramsey) Calculator Work?

Calculates the overall transverse coherence time T₂ from energy relaxation T₁ and pure dephasing T_φ in superconducting, spin, or NV-center qubits.

Qubit Decoherence Lifetime (T₁ Relaxation, T₂ Dephasing & T₂* Ramsey) Calculator Formula & Variables

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

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

Calculates the overall transverse coherence time T₂ from energy relaxation T₁ and pure dephasing T_φ in superconducting, spin, or NV-center qubits.

How to Use the Qubit Decoherence Lifetime (T₁ Relaxation, T₂ Dephasing & T₂* Ramsey) Calculator

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

Step-by-Step Example Calculation

Qubit Decoherence Lifetime (T₁ Relaxation, T₂ Dephasing & T₂* Ramsey) Calculator Example

Input Values:

longitudinalRelaxationT1Us:80
pureDephasingTimeTphiUs:120
singleQubitGateDurationNs:20
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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