Kristan Temme, Massachusetts Institute of Technology
Linmei Liang, National University of Defense Technology, China
Juan Jose Garcia Ripoll, Instituto de Física Fundamental
Igor Radchenko, Russian Academy of Sciences
I will introduce the field of quantum simulations from a wide
scientific perspective. Then, I will discuss the relevance of quantum
simulations for reproducing different aspects of quantum physics:
nonrelativistic and relativistic quantum dynamics, physical and unphysical
quantum operations, as well as strong and ultrastrong light-matter
interactions. Finally, I will give examples in the context of trapped-ion
and circuit QED technologies.
We provide a quantum algorithm for simulating the
dynamics of sparse Hamiltonians with complexity sublogarithmic in
the inverse error, an exponential improvement over previous methods.
Unlike previous approaches based on product formulas, the query
complexity is independent of the number of qubits acted on, and for
time-varying Hamiltonians, the gate complexity is logarithmic in the
norm of the derivative of the Hamiltonian. Our algorithm is based on
a significantly improved simulation of the continuous- and
NMR (Nuclear Magnetic Resonance) is a versatile probe of condensed matter, and has a broad range of applications in chemistry, medicine (MRI), oil industry, etc. NMR has become so popular outside the conventional realm of physics that the crucial role NMR has been playing in condensed matter physics is sometimes overlooked. I will explain how condensed matter physicists use NMR as a powerful low energy probe of solids, drawing examples from modern research into statistical physics, magnetism, and superconductivity.
We will review several proof of principle applications for graphene based devices performed in our group, including in field sensors, electronics, THz spectroscopy, spintronics, nanofluidics, and even musical instruments. We will then discuss the synthesis mechanism of graphene as well as the synthesis of very large single layered graphene monocrystals with various shapes, ranging from hexagons to fractals, dubbed graphlocons.
We discuss a device capable of filtering out two-mode states of light with mode populations differing by more than a certain threshold, while not revealing which mode is more populated. It would allow engineering of macroscopic quantum states of light in a way which is preserving specific superpositions. As a result, it would enhance optical phase estimation with these states. We propose an optical scheme, which is a relatively simple, albeit non-ideal, operational implementation of such a filter.
Progress in the field of experimental quantum information processing has been steady over the past decade with important developments continuing to be made in the understanding, design, and measurement of systems at the quantum level. As the boundaries of these measurements are pushed, we are finding that surface and interfacial properties play an increasingly important role. In general, this field has benefitted immensely from advances in VLSI.