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Quantum Circuit Simulator

Simulate quantum circuits with up to 16 qubits using H, X, Y, Z, S, T, CX, SWAP and CCX gates; inspect amplitudes and measurement probabilities in real time.

Quantum Circuit Simulator is a free, browser-based tool that lets you simulate quantum circuits with up to 16 qubits using nine gates (H, X, Y, Z, S, T, CX, SWAP, CCX) and inspect amplitudes and measurement probabilities in real time. All processing happens directly on your device with complete privacy. No installation, no signup, no data ever leaves your browser.

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Tutorial

How to use

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Set the number of qubits

Choose between 1 and 16 qubits using the number input. Start small (2-3) to learn the basics, then scale up for more complex circuits.

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Write your circuit script

Type one gate per line. Single-qubit gates: H, X, Y, Z, S, T followed by the qubit index. Two-qubit gates: CX control target, SWAP q1 q2. Three-qubit gate: CCX c1 c2 target.

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Inspect probabilities and amplitudes

The results panel updates in real time as you type. Probability bars show measurement outcomes; the amplitudes section shows the full complex state vector.

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Share or bookmark your circuit

Every change is encoded in the URL automatically. Copy the URL to share your exact circuit with colleagues or bookmark it to return later. No account needed.

Guide

Complete Guide to Quantum Circuit Simulator

What is Quantum Circuit Simulator?

Quantum Circuit Simulator is a specialized online tool designed to help you simulate small quantum circuits with h, x, y, z and cx gates, and inspect amplitudes and measurement probabilities. It runs entirely in your browser, which means no software installation is required and your data never leaves your device.

This type of tool is essential for professionals, students, and anyone who needs to perform this task quickly without relying on expensive desktop software. The browser-based approach ensures compatibility across all operating systems and devices.

By processing everything locally, the tool guarantees that your files and data remain completely private and secure throughout the entire operation.

Why Quantum Circuit Simulator Matters

Having access to a reliable, free tool for this task saves significant time and money. Traditional software solutions often require expensive licenses, complex installations, and steep learning curves.

This tool eliminates those barriers by providing an intuitive interface that anyone can use immediately. Whether you are a professional handling dozens of files daily or an occasional user with a one-time need, the tool adapts to your workflow.

The privacy-first approach is particularly valuable for handling confidential or sensitive content, as no data is ever transmitted over the internet during processing.

Best Practices and Tips

For the best results, ensure your input files are in the correct format before processing. Always preview the output to verify it meets your requirements before downloading or sharing.

If you are processing multiple files, work through them one at a time to ensure each output meets your quality standards. Keep your original files as backups in case you need to reprocess with different settings.

For large files, ensure your browser has sufficient memory available. Close unnecessary tabs and applications to free up resources for optimal processing performance.

Sources

Examples

Worked Examples

Example: Basic Quantum Circuit Simulator Usage

Given: A user needs to simulate small quantum circuits with h, x, y, z and cx gates, and inspect amplitudes and measurement probabilities for a work project.

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Step 1: Open the Quantum Circuit Simulator tool in your web browser.

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Step 2: Upload or enter your input data as instructed by the tool interface.

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Step 3: Configure any available settings to match your requirements.

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Step 4: Click the process/generate button and wait for the result.

Result: The tool processes your input locally in your browser and produces the desired output, ready to download or copy.

Example: Professional Quantum Circuit Simulator Workflow

Given: A professional working with multiple files needs efficient batch processing.

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Step 1: Prepare all input files in the correct format.

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Step 2: Process each file through the tool one at a time.

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Step 3: Verify each output meets quality standards before proceeding.

Result: All files are processed with consistent quality, maintaining privacy since no data leaves the browser.

Use Cases

Use cases

Create a Bell State (Entanglement)

“Set qubits to 2. Write 'H 0' then 'CX 0 1'. You will see |00> and |11> each at 50%, demonstrating maximal quantum entanglement between two qubits. This is the foundation of quantum teleportation and superdense coding.”

Build a GHZ State (Multi-Qubit Entanglement)

“Set qubits to 3. Write 'H 0', 'CX 0 1', 'CX 1 2'. The result shows |000> and |111> each at 50%; a three-qubit entangled state used in quantum error correction and multipartite entanglement experiments.”

Demonstrate Phase Kickback (Deutsch Algorithm Core)

“Set qubits to 2. Write 'X 1', 'H 0', 'CX 0 1', 'H 0'. This Hadamard-CNOT-Hadamard sandwich demonstrates phase kickback, the core mechanism behind Deutsch's algorithm and quantum phase estimation.”

Simulate a Toffoli Gate (Quantum AND)

“Set qubits to 3. Write 'X 0', 'X 1', 'CCX 0 1 2'. The Toffoli gate flips qubit 2 only when both control qubits are |1>, acting as a reversible AND gate. Result: 100% probability on |111>.”

Transfer State with SWAP

“Set qubits to 2. Write 'X 0', 'SWAP 0 1'. The SWAP gate exchanges the states of two qubits. Qubit 0 starts as |1> and after SWAP, qubit 1 holds the |1> state instead. Essential for routing in quantum hardware.”

Frequently Asked Questions

?What quantum gates does the simulator support?

The simulator supports nine gates: Hadamard (H), Pauli-X, Pauli-Y, Pauli-Z, Phase (S), pi/8 (T), Controlled-NOT (CX), SWAP, and Toffoli (CCX). These cover single-qubit rotations, phase shifts, entanglement, state exchange, and three-qubit controlled operations.

?How many qubits can I simulate?

You can simulate circuits with 1 to 16 qubits. For circuits with more than 6 qubits, the results are automatically filtered to show only non-zero states, keeping the output readable even for large state spaces.

?How do I write a circuit script?

Write one gate per line. Single-qubit: 'H 0', 'S 0', 'T 0'. Two-qubit: 'CX 0 1' (CNOT), 'SWAP 0 1'. Three-qubit: 'CCX 0 1 2' (Toffoli). Lines starting with # are comments.

?Can I share my quantum circuit with others?

Yes. The circuit configuration is encoded in the URL in real time. Simply copy and share the URL to let others see your exact circuit setup.

?Is my circuit data sent to a server?

No. The entire simulation runs locally in your browser with no backend. Your privacy is fully guaranteed.

?What are state amplitudes and measurement probabilities?

State amplitudes are complex numbers describing the quantum state. Measurement probabilities show the likelihood of each possible outcome when the qubits are measured.

?Is this tool suitable for learning quantum computing?

Yes. It is an excellent educational resource for students and enthusiasts to visualize how quantum gates transform qubit states and understand superposition and entanglement.

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Recommended Reading

Recommended Books on Quantum Computing

Quantum Computation and Quantum Information

Quantum Computation and Quantum Information

Michael A. Nielsen

Quantum Computing: An Applied Approach

Quantum Computing: An Applied Approach

Jack D. Hidary

Programming Quantum Computers

Programming Quantum Computers

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