Sonification of many qubit systems by Juliette Tudoce

contents
navigation
abstract
Quantum mechanics poses significant challenges for visual representation, particularly concerning quantum entanglement. In this work, we propose a sonification mapping for dynamical entanglement generation in many-qubit systems, with the help of phase space methods and entanglement measure. We study dynamics of entanglement generation in many-qubit system in dynamical protocol governed by two models: the one-axis twisting model, and a quantum kicked-rotor exhibiting both regular and quantum chaotic behavior. We present a procedure of entanglement dynamics sonification, allowing mapping the phase-space representation of a many-qubit quantum state and von Neuman entanglement entropy to sound.
Juliette Tudoce - Sonification of many qubit systems - 2026
Meta
Comments
Terms

Table of Contents:

2. Quantum Background

3. Sonification Mapping

6. XXZ Heisenberg Model

7. Kicked Rotor Model

Triangular wave

Ring Modulation

Frequency Modulation

(θ_init, φ_init)=(π/2, 0.00)

(θ_init, φ_init)=(0.00, 0.00)

(θ_init, φ_init)=(π/2, 0.00)

(θ_init, φ_init)=(0.00, 0.00)

(θ_init, φ_init)=(π/2, 0.00)

(θ_init, φ_init)=(0.00, 0.00)

System sizes L used:

2

7

8

2-qubits system

α = 0.10

α = 0.10

α = 0.10

α = 0.10

α = 0.10

α = 0.10

α = 10.0

α = 10.0

α = 10.0

α = 10.0

α = 10.0

α = 10.0

(θ_init, φ_init)=(0.00, 0.00)

(θ_init, φ_init)=(π/2, 0.00)

(θ_init, φ_init)=(0.00, 0.00)

(θ_init, φ_init)=(π/2, 0.00)

(θ_init, φ_init)=(0.00, 0.00)

(θ_init, φ_init)=(π/2, 0.00)

Hamiltonian used: kicked rotor

|ψₖ₊₁⟩ = U_α V_β |ψ_k⟩,

with U_α = exp( − i (α / L) S_z² ),

and V_β = exp( − i β S_y ).

For α = 0.10 and α = 10.

7-qubits system

α = 0.10

α = 0.10

α = 0.10

α = 0.10

α = 0.10

α = 0.10

α = 10.0

α = 10.0

α = 10.0

α = 10.0

α = 10.0

α = 10.0

(θ_init, φ_init)=(0.00, 0.00)

(θ_init, φ_init)=(π/2, 0.00)

(θ_init, φ_init)=(0.00, 0.00)

(θ_init, φ_init)=(π/2, 0.00)

(θ_init, φ_init)=(π/2, 0.00)

(θ_init, φ_init)=(0.00, 0.00)

8-qubits system

α = 0.10

α = 0.10

α = 0.10

α = 0.10

α = 0.10

α = 0.10

Waves used:

Triangular wave

Ring modulation

Frequency Modulation

α = 10.0

α = 10.0

α = 10.0

α = 10.0

α = 10.0

α = 10.0