Stabilizer codes: the continuous, the infinite, and the exotic
Traditional stabilizer codes operate over prime power local-dimensions. For instance, the 5-qubit code and 9-qubit code operate over local-dimension 2. In this presentation we discuss extending the stabilizer formalism using the local-dimension-invariant framework to import stabilizer codes from these standard local-dimensions to other cases.
Investigating the feasibility of a trapped atom interferometer with movable traps
Abstract: Atom interferometers can be used to obtain information about accelerations and fields, whether this may be in the investigation of fundamental aspects of physics, such as measuring fundamental constants or testing gravity, or as part of a measurement device, such as an accelerometer [1,2,3]. Achieving adequate coherence times remains a priority, and this can be realized by holding the atoms in a trap as an alternative to increasing their free fall time [1].
Useful bounds on superconducting Tc
Abstract: Superconductivity in the limit of a vanishing bandwidth in isolated bands is a classic example of a non-perturbative problem, where BCS theory does not apply. What sets the superconducting phase stiffness, and relatedly the transition temperature, in this limit is of both fundamental and practical interest. This question has become especially relevant with the discovery of superconductivity in moiré materials.
Chemistry, one quantum state at a time -- reaction and spectroscopy with ultracold molecules
Abstract: Over the past decade, advances in atomic, molecular, and optical (AMO) physics techniques enabled the cooling of simple molecules down to the ultracold regime (< 1 mK), allowing unprecedented control over their quantum states. This opened a host of new opportunities in quantum information, precision measurement, and controlled chemistry. I will discuss two experiments on precisely probing and controlling inter- and intramolecular dynamics at ultralow temperatures, respectively.
Topological Boundary Modes in a Floquet Hyperbolic System
(Pizza and refreshments will be served after the talk.)
A double quantum dot spin valve
(Pizza and refreshments will be served after the talk.)
Extrinsic Geometry of Quantum States
A quantum state that depends on a parameter is a commonly studied structure in quantum physics. Examples include the ground state of a Hamiltonian with a parameter or Bloch states as functions of the quasimomentum. The change in the state as the parameter varies can be characterized by such geometric objects as the Berry phase or the quantum distance which has led to many insights in the understanding of quantum systems.
Quantum algorithm for simulating coupled classical oscillators
I will describe a recent quantum algorithm (arXiv:2303.13012) for simulating the classical dynamics of 2^n coupled oscillators (e.g., 2^n masses coupled by springs). The algorithm is based on a mapping between the Schr\"odinger equation and Newton's equations for harmonic potentials such that the amplitudes of the evolved quantum state encode the momenta and displacements of the classical oscillators.
Another Round of Breaking and Making Quantum Money: How to Not Build It from Lattices, and More
Public verification of quantum money has been one of the central objects in quantum cryptography ever since Wiesner's pioneering idea of using quantum mechanics to construct banknotes against counterfeiting. So far, we do not know any publicly-verifiable quantum money scheme that is provably secure from standard assumptions.
In this talk, we provide both negative and positive results for publicly verifiable quantum money.