Measuring Arbitrary Physical Properties in Analog Quantum Simulation

Reliability of analog quantum simulation

Analog quantum simulators (AQS) will likely be the first nontrivial application of quantum technology for predictive simulation. However, there remain questions regarding the degree of confidence that can be placed in the results of AQS since they do not naturally incorporate error correction. Specifically, how do we know whether an analog simulation of a quantum model will produce predictions ...

Analog Quantum Simulation of Complex Quantum Dynamics: Control versus Chaos

Quantum Control in large Hilbert spaces is an essential part of the toolbox for Quantum Information Processing. Even so, for systems with Hilbert space dimension d > 2, the design of control Hamiltonians and the feasibility of robust implementation have only recently been explored in the laboratory. To this end we have developed a test bed for quantum control, consisting of the d = 16 dimension...

Simulation of Scaffold Physical Properties

Hamiltonian and measuring time for analog quantum search

We derive in this study a Hamiltonian to solve with certainty the analog quantum search problem analogue to the Grover algorithm. The general form of the initial state is considered. Since the evaluation of the measuring time for finding the marked state by probability of unity is crucially important in the problem, especially when the Bohr frequency is high, we then give the exact formula as a...

Digital-Analog Quantum Simulation of Spin Models in Trapped Ions

We propose a method to simulate spin models in trapped ions using a digital-analog approach, consisting in a suitable gate decomposition in terms of analog blocks and digital steps. In this way, we show that the quantum dynamics of an enhanced variety of spin models could be implemented with substantially less number of gates than a fully digital approach. Typically, analog blocks are built of ...