Advanced Quantum Computing Framework

A comprehensive simulation toolkit for quantum computation, providing state-of-the-art modeling of quantum circuits, algorithms, and visualizations.

High-Performance
Modular Architecture
Open Source
quantum_framework.py
1import numpy as np
2
3class QuantumState:
4    def __init__(self, name: str, num_qubits: int = 1):
5        self.name = name
6        self.num_qubits = num_qubits
7        self.state = self.initialize_state()
8
9    def initialize_state(self) -> np.ndarray:
10        # Initialize to |0> state
11        state = np.zeros(2**self.num_qubits, dtype=np.complex128)
12        state[0] = 1
13        return state
14
15    def apply_gate(self, gate, target_qubit, control_qubit=None):
16        # Apply quantum gate to the state
17        if gate == QuantumGate.HADAMARD:
18            self._apply_hadamard(target_qubit)
19        elif gate == QuantumGate.CNOT:
20            self._apply_cnot(control_qubit, target_qubit)
                        

Core Features

Our quantum computing framework provides powerful tools for simulation, algorithm development, and visualization of quantum phenomena.

Quantum State Modeling

Comprehensive quantum state representation with support for superposition, entanglement, and measurement operations on systems of arbitrary qubit size.

Circuit Design & Simulation

Design complex quantum circuits with a rich set of gates including Hadamard, CNOT, Pauli, and Phase, with high-performance simulation of execution.

Algorithm Development

Implement and test quantum algorithms including Grover's Search and Quantum Fourier Transform with optimized components for accuracy and performance.

Advanced Visualization

Rich visualization tools for quantum circuits, Bloch spheres, and probability distributions to better understand quantum states and operations.

Resource Management

Efficient scheduling and resource allocation with adaptive prioritization to optimize quantum task execution in complex computational workflows.

Error Correction & Mitigation

Built-in quantum error correction codes and noise models to simulate and mitigate errors in quantum calculations for more robust computations.

Quantum Gates & Circuits

Our framework supports a comprehensive set of quantum gates that can be combined to create powerful quantum circuits.

Supported Gates

H

Hadamard Gate

Creates superposition by transforming |0⟩ to (|0⟩ + |1⟩)/√2 and |1⟩ to (|0⟩ - |1⟩)/√2

X

Pauli-X Gate

Quantum NOT gate - flips the state of a qubit from |0⟩ to |1⟩ and vice versa

CNOT

CNOT Gate

Controlled-NOT gate - flips the target qubit if the control qubit is |1⟩

Z

Pauli-Z Gate

Introduces a phase shift of π for the |1⟩ state, leaving |0⟩ unchanged

T

T Gate

π/4 phase rotation gate - introduces a phase shift of π/4

SWAP

SWAP Gate

Exchanges the quantum states of two qubits

Interactive Circuit Designer

Simulation Result:

|00⟩: 50%
|01⟩: 0%
|10⟩: 0%
|11⟩: 50%

Quantum Algorithms

Leverage the power of quantum computing with these state-of-the-art algorithm implementations.

Grover's Search Algorithm

Our implementation of Grover's algorithm provides quadratic speedup for unstructured search problems, finding a marked item among N items in O(√N) steps instead of O(N).

class GroverSearch(QuantumAlgorithm):
    def __init__(self, n_qubits, target_state):
        self.n_qubits = n_qubits
        self.target_state = target_state
        self.circuit = QuantumCircuit(n_qubits)

    def run(self):
        # Initialize superposition
        for qubit in range(self.n_qubits):
            self.circuit.add_gate(
                QuantumGate.HADAMARD, qubit)
        
        # Optimal iterations
        iterations = max(1, int(
            np.pi/4 * np.sqrt(2**self.n_qubits)))
        
        for _ in range(iterations):
            self._oracle()
            self._diffusion()

        return self.circuit.measure()

Performance Analysis

Quantum Fourier Transform

Our Quantum Fourier Transform (QFT) implementation efficiently transforms quantum states from position to momentum representation, a fundamental building block for many quantum algorithms.

class QuantumFourierTransform(QuantumAlgorithm):
    def __init__(self, n_qubits):
        self.n_qubits = n_qubits
        self.circuit = QuantumCircuit(n_qubits)

    def run(self):
        # Apply Hadamard and controlled phase gates
        for i in range(self.n_qubits):
            self.circuit.add_gate(
                QuantumGate.HADAMARD, i)
            
            for j in range(i + 1, self.n_qubits):
                # Apply controlled phase rotation
                self.circuit.add_gate(
                    QuantumGate.CNOT, j, i)
                self.circuit.add_gate(
                    QuantumGate.PHASE, j)
                self.circuit.add_gate(
                    QuantumGate.CNOT, j, i)

        # Swap qubits to complete QFT
        self._swap_qubits()
        
        return self.circuit.run()

Input State

|001⟩
[0, 0, 0, 0, 0, 0, 0, 1]

QFT Output

Transformed State
[0.35, 0.35e-iπ/4, 0.35, ...]

Algorithm Benchmarking

Compare the performance of classical vs. quantum algorithms for common computational tasks.

View detailed benchmarks

Quantum Simulation Engine

High-performance quantum simulation with advanced noise modeling and error correction.

Simulation Features

High-Performance State Vector Simulation

Efficiently simulate quantum systems with up to 30+ qubits using optimized linear algebra operations.

Quantum Noise Models

Simulate realistic quantum noise including depolarizing, amplitude damping, and phase flip errors.

Error Correction Techniques

Implement quantum error correction with bit flip codes, phase flip codes, and the Shor code.

Circuit Compilation & Optimization

Compile circuits for specific architectures with gate decomposition and optimization techniques.

Quantum Simulator Demo

None Low Medium High

State Vector

|ψ⟩ = (0.707+0.000i)|00⟩ + (0.000+0.000i)|01⟩ + (0.000+0.000i)|10⟩ + (0.707+0.000i)|11⟩

Simulated Measurements

Noise Impact

Visualization Tools

Gain insights into quantum systems with our comprehensive visualization suite.

Bloch Sphere Representation

Circuit Visualization

Probability Distributions

Entanglement Visualization

Entangled

Bell State

|ψ⟩ = (1/√2)(|00⟩ + |11⟩)

Perfect entanglement: Measuring one qubit instantly determines the state of the other.

Entanglement Measures

1.0
von Neumann Entropy
1.0
Concurrence
1.0
Negativity

Quantum Task Management

Efficiently manage quantum computing resources with advanced scheduling and prioritization.

Resource Management Features

Adaptive Task Scheduling

Dynamically adjust task priorities based on historical performance and current resource availability.

Dependency Management

Efficiently handle complex task dependencies with visualization and critical path analysis.

Performance Monitoring

Track resource utilization and execution times with detailed logging and visualization.

Multi-threaded Execution

Parallelize quantum tasks with efficient thread management and resource allocation.

Task Dependency Graph

Task Statuses

Completed 4
Running 2
Pending 3
Failed 1

Resource Utilization

CPU 75%
Memory 60%
Quantum Resources 90%
Thread Pool 40%

Documentation & Resources

Comprehensive guides and examples to help you get started with the Quantum Framework.

Start Your Quantum Journey Today

Download the Quantum Framework and explore the possibilities of quantum computing simulation.

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