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19 papers · 1 filter
Kirkwood-Dirac Nonpositivity is a Necessary Resource for Quantum Computing
Jonathan J. Thio, Songqinghao Yang, Nicole Yunger Halpern +3
We elucidate the boundary between classical and quantum computation by constructing qubit Clifford circuits with nonstabilizer inputs that can be efficiently simulated classically.…
Convex roofs witnessing Kirkwood-Dirac nonpositivity
Christopher Langrenez, Stephan De Bièvre, David R. M. Arvidsson-Shukur
Given two observables and , one can associate to every quantum state a Kirkwood-Dirac (KD) quasiprobability distribution. KD distributions are like joint classical probabili…
Continuous drive heterodyne microwave sensing with spin qubits in hexagonal boron nitride
Charlie J. Patrickson, Valentin Haemmerli, Shi Guo +2
Quantum sensors that use solid state spin defects have emerged as effective probes of weak alternating magnetic signals. By recording the phase of a signal relative to an external…
Minimal evolution times for fast, pulse-based state preparation in silicon spin qubits
Christopher K. Long, Nicholas J. Mayhall, Sophia E. Economou +5
Standing as one of the most significant barriers to reaching quantum advantage, state-preparation fidelities on noisy intermediate-scale quantum processors suffer from quantum-gate…
Almost no experiments have classical Kirkwood-Dirac representations
Christopher Langrenez, Wilfred Salmon, Stephan De Bièvre +3
A central problem in quantum information is determining quantum-classical boundaries. In the quasiprobability framework, a state is called classical if it is represented by a quasi…
Properties and Applications of the Kirkwood-Dirac Distribution
David R. M. Arvidsson-Shukur, William F. Braasch, Stephan De Bievre +6
Recent years have seen the Kirkwood-Dirac (KD) distribution come to the forefront as a powerful quasi-probability distribution for analysing quantum mechanics. The KD distribution…