qutip

1# QuTiP: Quantum Toolbox in Python
2 
3## Overview
4 
5QuTiP provides comprehensive tools for simulating and analyzing quantum mechanical systems. It handles both closed (unitary) and open (dissipative) quantum systems with multiple solvers optimized for different scenarios.
6 
7## Installation
8 
9```bash
10uv pip install qutip
11```
12 
13Optional packages for additional functionality:
14 
15```bash
16# Quantum information processing (circuits, gates)
17uv pip install qutip-qip
18 
19# Quantum trajectory viewer
20uv pip install qutip-qtrl
21```
22 
23## Quick Start
24 
25```python
26from qutip import *
27import numpy as np
28import matplotlib.pyplot as plt
29 
30# Create quantum state
31psi = basis(2, 0)  # |0⟩ state
32 
33# Create operator
34H = sigmaz()  # Hamiltonian
35 
36# Time evolution
37tlist = np.linspace(0, 10, 100)
38result = sesolve(H, psi, tlist, e_ops=[sigmaz()])
39 
40# Plot results
41plt.plot(tlist, result.expect[0])
42plt.xlabel('Time')
43plt.ylabel('⟨σz⟩')
44plt.show()
45```
46 
47## Core Capabilities
48 
49### 1. Quantum Objects and States
50 
51Create and manipulate quantum states and operators:
52 
53```python
54# States
55psi = basis(N, n)  # Fock state |n⟩
56psi = coherent(N, alpha)  # Coherent state |α⟩
57rho = thermal_dm(N, n_avg)  # Thermal density matrix
58 
59# Operators
60a = destroy(N)  # Annihilation operator
61H = num(N)  # Number operator
62sx, sy, sz = sigmax(), sigmay(), sigmaz()  # Pauli matrices
63 
64# Composite systems
65psi_AB = tensor(psi_A, psi_B)  # Tensor product
66```
67…