Given a unitary transformation, what is the size of the smallest quantum circuit that implements it? This quantity, known as the quantum circuit complexity, is a fundamental …
BP Cavalar, E Goldin, M Gray, P Hall - arXiv preprint arXiv:2410.04984, 2024 - arxiv.org
We prove the first meta-complexity characterization of a quantum cryptographic primitive. We show that one-way puzzles exist if and only if there is some quantum samplable distribution …
Quantum computing introduces many problems rooted in physics, asking to compute information from input quantum states. Determining the complexity of these problems has …
In recent years, achieving verifiable quantum advantage on a NISQ device has emerged as an important open problem in quantum information. The sampling-based quantum …
One of the main applications of quantum computers is expected to be computing properties of physical systems. Of particular interest is that of computing ground states and of …
One of the main applications of quantum computers is expected to be computing properties of physical systems. Of particular interest is that of computing ground states and of …
Pseudorandom states, introduced by Ji, Liu and Song (Crypto'18), are efficiently-computable quantum states that are computationally indistinguishable from Haar-random states. One …