A sample-optimal quantum state tomography algorithm that is memory-efficient by using unitary Schur sampling with streaming access to samples.
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SYK disorder is shown to be an approximate unitary k-design for poly(N) k; under the planted-SYK hardness conjecture this yields gravitationally pseudorandom unitaries, implying cryptographic censorship in JT gravity with the regularized maximal geodesic length as distinguisher.
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Sample Optimal and Memory Efficient Quantum State Tomography
A sample-optimal quantum state tomography algorithm that is memory-efficient by using unitary Schur sampling with streaming access to samples.
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Pseudorandom Dynamics in the SYK Model and Cryptographic Censorship in JT Gravity
SYK disorder is shown to be an approximate unitary k-design for poly(N) k; under the planted-SYK hardness conjecture this yields gravitationally pseudorandom unitaries, implying cryptographic censorship in JT gravity with the regularized maximal geodesic length as distinguisher.