6 papers · 1 filter
Quantum fast-forwarding fermion-boson interactions via the polaron transform
Harriet Apel, Burak ÅahinoÄlu
Simulating interactions between fermions and bosons is central to understanding correlated phenomena, yet these systems are inherently difficult to treat classically. Previous quan…
A sharper Magnus expansion bound woven in binary branches
Harriet Apel, Toby Cubitt, Emilio Onorati
The Magnus expansion provides an exponential representation of one-parameter operator families, expressed as a series expansion in its generators. This is useful for example in qua…
Reducing quantum resources for observable estimation with window-assisted coherent QPE
Harriet Apel, Cristian L. Cortes, Jessica Lemieux +1
Quantum Phase Estimation (QPE) routines are known to fail probabilistically even with perfect gates and input states. This effect stems from an incompatibility of finite-sized quan…
Encodings of Observable Subalgebras
Maite Arcos, Harriet Apel, Toby Cubitt
Simulating complex systems remains an ongoing challenge for classical computers, while being recognised as a task where a quantum computer has a natural advantage. In both digital…
Security of quantum position-verification limits Hamiltonian simulation via holography
Harriet Apel, Toby Cubitt, Patrick Hayden +2
We investigate the link between quantum position-verification (QPV) and holography established in [MPS19] using holographic quantum error correcting codes as toy models. By inserti…
A mathematical framework for quantum Hamiltonian simulation and duality
Harriet Apel, Toby Cubitt
Analogue Hamiltonian simulation is a promising near-term application of quantum computing and has recently been put on a theoretical footing. In Hamiltonian simulation, a physical…