Chi-Fang Chen

collaborators

3 papers

quant-ph2024

Incompressibility and spectral gaps of random circuits

Chi-Fang Chen, Jeongwan Haah, Jonas Haferkamp +3

Random reversible and quantum circuits form random walks on the alternating group $Alt (2^{n})$ and unitary group $SU (2^{n})$ , respectively. Known bounds on the spectr…

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 $k$ -designs using $O ~ (k \cdot p o l y (n))$ 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 $T$ -designs play an important role in quantum information, with diverse applications in quantum algorithms, benchmarking, tomography, and communication. Until now, the most…