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Quantum Engineering Year 1: Quantum Mechanics Core Month 21Day 573

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Year 1·Month 21·Week 2

Day 573: Tensor Products and Circuit-Matrix Correspondence

Day 573 of 2,016~15 min read

Learning Objectives

•**Compute Kronecker products** of matrices correctly
•**Build multi-qubit gate matrices** from circuit diagrams
•**Understand qubit ordering conventions** (big-endian vs little-endian)
•**Convert between circuit diagrams and matrices** systematically
•**Simulate quantum circuits** by matrix multiplication
•**Handle mixed tensor products** (gates on non-adjacent qubits)

Today's Schedule (7 hours)

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On this page

1 The Tensor Product Kronecker Product 2 Basic Examples 3 Properties of Tensor Products 4 Qubit Ordering Convention 5 Circuit to Matrix Parallel Gates 6 Circuit to Matrix Sequential Gates 7 Identity Padding 8 Multi-Qubit Example 9 Gates on Non-Adjacent Qubits 10 General Rule for CNOT_ij 11 Simulation by Matrix Multiplication 12 Computational Complexity Quantum Computing Connection

Day 572Day 573 of 2,016Day 574