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23 papers · 2 filters
Adaptive time Compressed QITE (ACQ) and its geometrical interpretation
Alberto Acevedo Meléndez, Carmen G. Almudéver, Miguel Angel Garcia-March +8
Imaginary time evolution (ITE) is a well-established method for ground-state preparation, a fundamental problem in many fields such as materials science, chemistry, and optimizatio…
Uniqueness of purifications is equivalent to Haag duality
Lauritz van Luijk, Alexander Stottmeister, Henrik Wilming
The uniqueness of purifications of quantum states on a system up to local unitary transformations on a purifying system is central to quantum information theory. We show th…
Frame dependence of Spekkens' contextuality for relativistic spin systems
Ruben Campos Delgado
We show that the operational definition of contextuality introduced by Spekkens is, in general, not Lorentz invariant. Specifically, we consider an explicit example with particle s…
On the Complexity of Quantum States and Circuits from the Orthogonal and Symplectic Groups
Oxana Shaya, Zoë Holmes, Christoph Hirche +1
Understanding the complexity of quantum states and circuits is a central challenge in quantum information science, with broad implications in many-body physics, high-energy physics…
von Neumann measurement and quantum phase estimation of block-encoded Hamiltonians
S. E. Skelton
We review how to use von Neumann's measurement procedure to estimate a phase, using an efficient Hamiltonian simulation subroutine acts on a block-encoded Hamiltonian. We show that…
Sub-Riemannian geometry of measurement based quantum computation
Lukas Hantzko, Arnab Adhikary, Robert Raussendorf
The computational power of quantum phases of matter with symmetry can be accessed through local measurements, but what is the most efficient way of doing so? In this work, we show…