1,631 research outputs found
Magnetic Ordering in the Spin-Ice Candidate HoRuO
Neutron scattering measurements on the spin-ice candidate material
HoRuO have revealed two magnetic transitions at T 95 K and T
1.4 K to long-range ordered states involving the Ru and Ho sublattices,
respectively. Between these transitions, the Ho moments form
short-ranged ordered spin clusters. The internal field provided by the ordered
S=1 Ru moments disrupts the fragile spin-ice state and drives the
Ho moments to order. We have directly measured a slight shift in the
Ho crystal field levels at 95 K from the Ru ordering.Comment: 4 pages, 5 figures, submitted to Phys. Rev. Letter
Negative Quasi-Probability as a Resource for Quantum Computation
A central problem in quantum information is to determine the minimal physical
resources that are required for quantum computational speedup and, in
particular, for fault-tolerant quantum computation. We establish a remarkable
connection between the potential for quantum speed-up and the onset of negative
values in a distinguished quasi-probability representation, a discrete analog
of the Wigner function for quantum systems of odd dimension. This connection
allows us to resolve an open question on the existence of bound states for
magic-state distillation: we prove that there exist mixed states outside the
convex hull of stabilizer states that cannot be distilled to non-stabilizer
target states using stabilizer operations. We also provide an efficient
simulation protocol for Clifford circuits that extends to a large class of
mixed states, including bound universal states.Comment: 15 pages v4: This is a major revision. In particular, we have added a
new section detailing an explicit extension of the Gottesman-Knill simulation
protocol to deal with positively represented states and measurement (even
when these are non-stabilizer). This paper also includes significant
elaboration on the two main results of the previous versio
- …