Shallow Quantum Circuits: Unconditional Separations Between Quantum and Classical Computing

Shallow Quantum Circuits: Unconditional Separations Between Quantum and Classical Computing

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Sampling Parity with NCO

6 of 15

6 of 15

Sampling Parity with NCO

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Classroom Contents

Shallow Quantum Circuits: Unconditional Separations Between Quantum and Classical Computing

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  1. 1 Intro
  2. 2 An Oversimplification
  3. 3 Definitions
  4. 4 Classical Circuit Complexity
  5. 5 Types of Separations
  6. 6 Sampling Parity with NCO
  7. 7 A Sampling Separation
  8. 8 QNCO Circuits
  9. 9 Unconditional Quantum/Classical Separations
  10. 10 Proof Techniques
  11. 11 Review: The GHZ State
  12. 12 Trick 1: Rotation By Hamming Weight
  13. 13 The Poor Man's GHZ State
  14. 14 Open Questions
  15. 15 Trick 3: Mutual Rotation

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