a Quantum Measurement Example.

Martin Lukac, Marek A. Perkowski

In this paper we introduce the new model for Quantum Logic Synthesis. The innovation consists in designing circuits with the measurement process together with the computing circuit. The Measurement is used as a part of the entire computational process. We demonstrate the method to synthesize quantum circuits from examples (examples are cares of the quantum truth table) such that the synthesis process converts the don't knows (minterms not given as examples) to the entangled quantum output values which are measurement dependent. We extended the logic synthesis approach to measurement-based quantum circuits synthesis from incompletely specified or completely specified function specifications.

Travis Norsen

Frank V. Kowalski

Abstract Exploring many-body interactions in an inquiry-based environment can enhance undergraduate and graduate student understanding of quantum physics. Specific classroom examples are provided in increasing complexity of content and maturity of comprehension. The simplest example of a purely quantum system (without using a classical potential) involves the many-body treatment of two quantum objects reflecting from each other via hard-sphere scattering in one dimensional motion. This example is extended to a particle confined in an infinite square well or interacting with a finite barrier and finite well where each of the objects generating the potentials now recoils due to reflection of the particle. These simple systems introduce concepts of entanglement, quantum correlated interference, and measurements made on a subset of the bodies. Completely inelastic scattering that involves the fusing (or destruction) of two bodies into the creation of a third is also discussed. In addition to this content, guided inquiry-based pedagogy is illustrated using two examples: collective recoil when a particle reflects from two scatterers and measurements on each body made asynchronously. The examples provided explore potential methods to verify quantum effects on a macroscopic scale and address measurement in a quantum system.

Pierre Jasselette

I.F. Staricek

Gerard J Milburn, Michael J. Kewming

Abstract The role of projection noise, an example of quantum measurement noise, in clock design has been well understood for some time. It is based on a particular measurement protocol — Ramsey interferometry. In this paper we discuss more general quantum measurement schemes to estimate the period/frequency of a clock system based on continuous readout of a driven quantum system. The measurement needs to be chosen so as to provide a precise counting signal. We give an example based on a superconducting circuit clock.