EAPSI: Analysis of SLOCC Convertibility and Quantum Transformations on Higher Order N-Partite Greenberger-Horne-Zeilinger States

EAPSI：高阶 N 分 Greenberger-Horne-Zeilinger 态的 SLOCC 可转换性和量子变换分析

• 批准号: 1713796
• 负责人: Adrian Rivera-Torres
• 金额: $ 0.54万
• 依托单位: Rivera-Torres Adrian A
• 依托单位国家: 美国
• 项目类别: Fellowship Award
• 财政年份: 2017
• 资助国家: 美国
• 起止时间: 2017-06-01 至 2018-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1713796&HistoricalAwards=false
• 关键词: EAPSI; Analysis; SLOCC; Convertibility; Quantum

Computers and information systems are built on bits, which can be anything that represents a binary value such as off/on, or 0/1. We may use quantum objects as bits, such as photons, because two possible states of polarization can be measured. However, quantum objects are especially unique because they can be in a superposition of both states, and they can also be entangled in a way such that the measurement of one system affects the other, which cannot be done with non-quantum (classical) bits. So quantum computing systems allow for calculations that cannot be done classically, and it is useful to know of systems that perform computations that classical computers cannot. One particularly interesting quantum state is the Greenberger-Horne-Zeilinger (GHZ) state because of its non-classical properties, and the focus of this project is to do extensive research on this state and its properties. This project will be done in collaboration with Dr. Kae Nemoto, the leading professor in the Quantum Information Sciences research group at the National Institute of Informatics in Tokyo, Japan.GHZ states are non-biseparable states even for the simplest GHZ state. Therefore, it is useful to study its entanglement in terms of Stochastic Local Operations and Classical Communication (SLOCC) convertibility to apply those states in quantum information systems. It is also useful to study quantum operations on the state that do not result in simply entangled (Bell) states. This project will study both those properties in the n-partite GHZ state for few qubits and work its way up to make general statements for n-partite states for large number of qubits.This award, under the East Asia and Pacific Summer Institutes program, supports summer research by a U.S. graduate student and is jointly funded by NSF and the Japanese Society for the Promotion of Science.

计算机和信息系统是建立在比特之上的，比特可以是任何表示二进制值的东西，比如关/开或0/1。我们可以用量子物体作为比特，比如光子，因为可以测量两种可能的偏振态。然而，量子对象是特别独特的，因为它们可以处于两种状态的叠加中，并且它们也可以以某种方式纠缠，使得一个系统的测量影响另一个系统，这是非量子（经典）比特无法做到的。因此，量子计算系统允许经典计算机无法完成的计算，并且了解执行经典计算机无法执行的计算的系统是有用的。一个特别有趣的量子态是Greenberger-Horne-Zeilinger（GHZ）态，因为它的非经典性质，本项目的重点是对这种状态及其性质进行广泛的研究。该项目将与日本东京国立信息学研究所量子信息科学研究小组的首席教授Kae Nemoto博士合作完成。即使对于最简单的GHZ态，GHZ态也是不可分的。因此，从随机局域操作和经典通信（SLOCC）可转换性的角度来研究它的纠缠，对于将这些态应用到量子信息系统中有着重要的意义。它也是有用的研究量子操作的状态，不导致简单的纠缠（贝尔）状态。该项目将研究少数量子比特的n体GHZ态的这两种性质，并逐步研究大量量子比特的n体GHZ态的一般性陈述。该奖项是由美国国家科学基金会（NSF）和日本科学促进会（Japanese Society for the Promotion of Science）共同资助的东亚和太平洋夏季研究所（East Asia and Pacific Summer Institutes）项目下的一个美国研究生暑期研究项目。