Quantum Research

articles

• Approximate Optimization Algorithms with Quantum Hamiltonian Relaxation (algorithm built in 2020 for playing with MaxCut on small quantum computers) [arXiv] [exposé]

• Second-quantized fermionic Hamiltonians for quantum simulation with polylogarithmic qubit and gate complexity (intern project of Will Kirby) [arXiv]

• Adaptive Pauli shadows for energy estimation [arXiv] [github] [exposé]
  

• Decision diagrams for quantum measurements with shallow circuits (with Stefan Hillmich, Rudy Raymond, Antonio Mezzacapo, Robert Wille) [arXiv] [github]
  accepted

• Doubling the size of quantum simulators by entanglement forging (with Andrew Eddins, Mario Motta, Tanvi Gujarati, Sergey Bravyi, Antonio Mezzacapo, Sarah Sheldon) [arXiv]
  submitted

• Measurements of quantum Hamiltonians with locally-biased classical shadows (with Sergey Bravyi, Rudy Raymond, Antonio Mezzacapo) [arXiv] [github]
  Communications in Mathematical Physics

misc

• lecture on dimensional reduction [exposé]
  notes on dimensional reduction in quantum machine learning
  course given virtually for: QML workshop (December 2020)

• variance for biased classical shadows [calculation]
  calculation of moments for classical shadows for arbitrary probability distributions

• lectures on fermionic encodings [notes] [powerpoint]
  notes on fermionic encodings of second-quantised Hamiltonians
  representation theory, Jordan-Wigner, Parity, Binary tree, Superfast, Generalised superfast, Tapering
  course given at: IBM New York (January 2020), Keio University Tokyo (February 2020)

• lectures on quantum error correction: 1 2 3 4
  four lectures ending with an explanation of lattice surgery

• diamond norm [exposé]
  an exposé on the diamond norm in quantum information from an operational viewpoint

• perturbative gadgets [exposé]
  an exposé describing the perturbation theory surrounding perturbative gadgets