5 papers
Affine Filtering Measurements and Their Applications to Quantum Decoding
Avijit Mandal, Noah Shutty, Henry D. Pfister +1
Unambiguous state discrimination (USD) measurements are attractive because outcomes are either marked as conclusive (i.e., error free) or inconclusive (i.e., erased). We study affi…
Optimization Using Locally-Quantum Decoders
Noah Shutty, Avijit Mandal, Seyoon Ragavan +8
It was pointed out in [JSW+25] that widely-studied optimization problems such as D-regular max-k-XORSAT can be reduced to decoding of LDPC codes, using quantum algorithms related t…
Optimization by Decoded Quantum Interferometry
Stephen P. Jordan, Noah Shutty, Mary Wootters +6
Achieving superpolynomial speedups for optimization has long been a central goal for quantum algorithms. Here we introduce Decoded Quantum Interferometry (DQI), a quantum algorithm…
Efficient Quantum Hermite Transform
Siddhartha Jain, Vishnu Iyer, Rolando D. Somma +2
We present a new primitive for quantum algorithms that implements a discrete Hermite transform efficiently, in time that depends logarithmically in both the dimension and the inver…
Constructive interference at the edge of quantum ergodic dynamics
Dmitry A. Abanin, Rajeev Acharya, Laleh Aghababaie-Beni +262
Quantum observables in the form of few-point correlators are the key to characterizing the dynamics of quantum many-body systems. In dynamics with fast entanglement generation, qua…