50 citations · 68 across the 10 of their papers we have counts for
13 papers
Optimal kernel functions for linear combination of Hamiltonian simulation
Harriet Apel, Bjorn K. Berntson
Linear combination of Hamiltonian simulation (LCHS) provides an asymptotically optimal framework for the quantum simulation of linear non-unitary dynamics. The LCHS approach approx…
Floquet-Universal Hamiltonian Simulation
Emilio Onorati, Harriet Apel, Michael M. Wolf +1
Analogue and digital Hamiltonian simulation represent two distinct approaches to making one quantum system replicate the physical properties of another, with consequences ranging f…
Compiling the 2D Fermi-Hubbard ground-state energy estimation algorithm for active volume quantum architectures
Harriet Apel, Athena Caesura, Carys Harvey +11
As quantum computing enters the early fault-tolerant era, circuit compilation choices will increasingly depend on details of the underlying architecture rather than solely optimizi…
Quantum fast-forwarding fermion-boson interactions via the polaron transform
Harriet Apel, Burak Şahinoğlu
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 their generators. This is particularly relevant i…
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…
Simulating LDPC code Hamiltonians on 2D lattices
Harriet Apel, Nouédyn Baspin
While LDPC codes have been demonstrated with desirable error correcting properties, this has come at a cost of diverging from the geometrical constraints of many hardware platforms…
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…
Evaluating low-depth quantum algorithms for time evolution on fermion-boson systems
Nathan Fitzpatrick, Harriet Apel, David Muñoz Ramo
Simulating time evolution of quantum systems is one of the most promising applications of quantum computing and also appears as a subroutine in many applications such as Green's fu…
Holographic duality between local Hamiltonians from random tensor networks
Harriet Apel, Tamara Kohler, Toby Cubitt
The AdS/CFT correspondence realises the holographic principle where information in the bulk of a space is encoded at its border. We are yet a long way from a full mathematical cons…
Dynamical mean field theory algorithm and experiment on quantum computers
I. Rungger, N. Fitzpatrick, H. Chen +12
The developments of quantum computing algorithms and experiments for atomic scale simulations have largely focused on quantum chemistry for molecules, while their application in co…