Quantizing and manipulating time

Jincheng Zhang

This paper proposes a novel approach to information encoding and transmission by leveraging the principles of quantum mechanics, specifically quantum superposition and interference. The core idea revolves around the time-flow sub-quantization, where time is discretized into quantum-like 'time quanta'. We introduce a time-flow encoder based on these quanta, utilizing precise control over their states to encode information. Furthermore, we explore the potential of quantum interference to enhance the efficiency of this encoding process. The theoretical framework presented here explores the feasibility of encoding information within the temporal dimension, offering a potentially disruptive methodology for both time-based coding and quantum communication systems. The key to this method lies in the manipulation of these temporal quanta, creating complex interference patterns to represent information, ultimately exceeding the limitations of classical encoding techniques. This work aims to establish a foundational understanding of time-flow sub-quantization and its implications for future advancements in information technology.

H. D. Zeh

Sharma, S S, Vidiella-Barranco, A

A scheme to implement quantum logic gates by manipulating trapped ions through interaction with monochromatic external laser field and quantized cavity field, beyond the Lamb-Dicke regime, is presented. Characteristic time, for implementing ionic state transitions using non-resont laser pulse or quantized cavity field, shows a sharp decline for large Lamb-Dicke parameter value of $\\eta_{L}=\\eta_{c}=0.2$, and is seen to decrease further with increase in number of initial state vibrational quanta $m$.

H. Dieter Zeh

A.A. Abrikosov, Ennio Gozzi

N. G. Veselkova, I. V. Sokolov

Abstract We investigate the non-stationary and relaxation phenomena in cavity-assisted quantum memories for light. As a storage medium we consider an ensemble of cold atoms with standard Lambda-scheme of working levels. Some theoretical aspects of the problem were treated previously by many authors, and recent experiments stimulate more deep insight into the ultimate ability and limitations of the device. Since quantum memories can be used not only for the storage of quantum information, but also for a substantial manipulation of ensembles of quantum states, the speed of such manipulation and hence the ability to write and retrieve the signals of relatively short duration becomes important. In our research we do not apply the so-called bad cavity limit, and consider the memory operation of the signals whose duration is not much larger than the cavity field lifetime, accounting also for the finite lifetime of atomic coherence. In our paper we present an effective approach that makes it possible to find the non-stationary amplitude and phase behavior of strong classical control field, that matches the desirable time profile of both the envelope and the phase of the retrieved quantized signal. The phase properties of the retrieved quantized signals are of importance for the detection and manipulation of squeezing, entanglement, etc by means of optical mixing and homodyning.