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quant-ph2025
Design boosters: from constant-time quantum chaos to -designs and beyond
Soumik Ghosh, Arjun Mirani, Yihui Quek +1
We study a counterintuitive property of 'conditioning' on the result of measuring a subsystem of a quantum state: such conditioning can boost design quality, at the cost of increas…
quant-ph2024
Efficient unitary designs and pseudorandom unitaries from permutations
Chi-Fang Chen, Adam Bouland, Fernando G. S. L. Brandão +3
In this work we give an efficient construction of unitary -designs using quantum gates, as well as an efficient construction of a parallel-secure pse…
quant-ph2024
Efficient Unitary T-designs from Random Sums
Chi-Fang Chen, Jordan Docter, Michelle Xu +2
Unitary -designs play an important role in quantum information, with diverse applications in quantum algorithms, benchmarking, tomography, and communication. Until now, the most…