Quantum Circuit Bet

Game Overview

Welcome to the Quantum Circuit Game! Test your understanding of quantum gates and their effects on qubit states through four different game modes:

• Amplitude Game: Focus on predicting quantum state probabilities
• Phase Game: Master both amplitude and phase predictions
• Two-Qubit Game: Explore quantum entanglement and two-qubit operations
• Sandbox Mode: Freely experiment with quantum gates

Basic Rules

• Start with 100 credits in game modes
• Each round presents a random sequence of quantum gates
• Predict the resulting quantum state
• Earn credits based on prediction accuracy
• Use hints to guide your predictions

Game Modes

Amplitude Game

• Predict probabilities of measuring |0⟩ and |1⟩ states
• Use the probability slider to set your predictions
• Visualize predictions through histograms

Phase Game

• Predict both amplitudes and phases of quantum states
• Use probability sliders for amplitudes
• Use phase dials to predict quantum phases
• Master the complete quantum state description

Two-Qubit Game

• Predict probabilities for two-qubit states (|00⟩, |01⟩, |10⟩, |11⟩)
• Work with entangling operations like CNOT and SWAP
• Understand quantum correlations between qubits

Sandbox Mode

• Freely apply quantum gates to explore their effects
• No scoring - perfect for learning and experimentation
• Real-time visualization of quantum state changes

Hints System

Purchase measurements to help guide your predictions:

• 1 Shot (5 credits): Quick snapshot with high uncertainty
• 100 Shots (15 credits): Better statistical sampling
• ∞ Shots (30 credits): Perfect measurement, but costs more

Scoring

• Closer predictions earn more credits
• Perfect predictions can earn up to 40 credits
• Poor predictions result in credit loss
• Game ends if credits reach zero