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# QuTiP: Quantum Toolbox in Python
## Overview
QuTiP 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.
## Installation
```bash
uv pip install qutip
```
Optional packages for additional functionality:
```bash
# Quantum information processing (circuits, gates)
uv pip install qutip-qip
# Quantum trajectory viewer
uv pip install qutip-qtrl
```
## Quick Start
```python
from qutip import *
import numpy as np
import matplotlib.pyplot as plt
# Create quantum state
psi = basis(2, 0) # |0⟩ state
# Create operator
H = sigmaz() # Hamiltonian
# Time evolution
tlist = np.linspace(0, 10, 100)
result = sesolve(H, psi, tlist, e_ops=[sigmaz()])
# Plot results
plt.plot(tlist, result.expect[0])
plt.xlabel('Time')
plt.ylabel('⟨σz⟩')
plt.show()
```
## Core Capabilities
### 1. Quantum Objects and States
Create and manipulate quantum states and operators:
```python
# States
psi = basis(N, n) # Fock state |n⟩
psi = coherent(N, alpha) # Coherent state |α⟩
rho = thermal_dm(N, n_avg) # Thermal density matrix
# Operators
a = destroy(N) # Annihilation operator
H = num(N) # Number operator
sx, sy, sz = sigmax(), sigmay(), sigmaz() # Pauli matrices
# Composite systems
psi_AB = tensor(psi_A, psi_B) # Tensor product
```
**See** `references/core_concepts.md` for comprehensive coverage of quantum objects, states, operato