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quant-ph2026
Efficient quantum circuits for high-dimensional representations of SU(n) and Ramanujan quantum expanders
Vishnu Iyer, Siddhartha Jain, Stephen Jordan +1
We present efficient quantum circuits that implement high-dimensional unitary irreducible representations (irreps) of , where is constant. For dimension and er…
quant-ph2025
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…
quant-ph2025
Quantum Communication Advantage in TFNP
Mika Göös, Tom Gur, Siddhartha Jain +1
We exhibit a total search problem with classically verifiable solutions whose communication complexity in the quantum SMP model is exponentially smaller than in the classical two-w…