4 papers
The Power of Power-of-SWAP: Postselected Quantum Computation with the Exchange Interaction
Jędrzej Burkat, Sergii Strelchuk, Michał Studziński
We introduce Exchange Quantum Polynomial Time (XQP) circuits, which comprise quantum computation using only computational basis SPAM and the isotropic Heisenberg exchange interacti…
The Quantum Paldus Transform: Efficient Circuits with Applications
Jędrzej Burkat, Nathan Fitzpatrick
We present the Quantum Paldus Transform: an efficient quantum algorithm for block-diagonalising fermionic, spin-free Hamiltonians in the second quantisation. Our algorithm implemen…
Structure, Positivity and Classical Simulability of Kirkwood-Dirac Distributions
Jędrzej Burkat, Sergii Strelchuk
Kirkwood-Dirac (KD) quasiprobability distributions are increasingly used across quantum information science, yet their computational significance remains unclear. We classify unita…
A Lightweight Protocol for Matchgate Fidelity Estimation
Jędrzej Burkat, Sergii Strelchuk
We present a low-depth randomised protocol for estimating the entanglement fidelity between an -qubit matchgate circuit and its noisy implementation .…