Entanglement and nonlocality in quantum theory

量子理论中的纠缠和非定域性

• 批准号: 16F16769
• 负责人: 村尾 美緒
• 金额: $ 1.34万
• 依托单位: The University of Tokyo
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for JSPS Fellows
• 财政年份: 2016
• 资助国家: 日本
• 起止时间: 2016-11-07 至 2019-03-31
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16F16769/
• 关键词: 量子非局所性; エンタングルメント; 高階量子演算

In 2018 we have concluded our two main research projects. We have written the results we have obtained in two papers: “Reversing unknown quantum transformations: A universal protocol for inverting general unitary operations”, (submitted to Physical Review Letters) and “Implementing positive maps with multiple copies of an input state” (submitted to Physical Review A).Regarding the problem of quantum unitary operations, we made a deeper analysis into our quantum algorithms that transform multiple uses of a unitary into its inverse. We have found a systematic method to obtain quantum algorithms for transforming multiple copies of quantum unitary operations. This systematic method admits a robust numerical approach based in semi-definite programming which can find optimal protocols in in three classes: parallel - where the input copies can be used at the same time - sequential - where the use of the input copies are made in a causally ordered way - and general - where the use of the input operations may not respect a definite causal order. With this method, we have shown that there exists a strict hierarchy between these three classes and we could understand better the power and limitations of processes with indefinite causal order.

2018年，我们完成了两个主要研究项目。我们已经把我们得到的结果写在两篇论文中：“反转未知的量子变换：一个通用的协议，用于反转一般酉运算”，（提交给Physical Review Letters）和“使用输入状态的多个副本实现正映射”（提交给Physical Review A）.关于量子么正操作的问题，我们对我们的量子算法进行了更深入的分析，这些算法将酉的多次使用转换为它的逆。我们已经找到了一个系统的方法来获得量子算法转换多个副本的量子幺正操作。这种系统的方法承认一个强大的数值方法的基础上半定规划，可以找到最佳的协议在三类：并行-其中输入副本可以在同一时间使用-顺序-其中使用的输入副本是在因果顺序的方式-和一般-其中使用的输入操作可能不尊重一个明确的因果顺序。用这种方法，我们已经表明，这三类之间存在着严格的层次结构，我们可以更好地理解的权力和不确定的因果顺序的过程的限制。

项目成果

ICFO(量子光学研究所)(スペイン)

ICFO（量子光学研究所）（西班牙）

Genuine n-wise Measurement Incompatibility and Device Independent Certificates of Incompatibility

真正的 n-wise 测量不兼容性和设备独立的不兼容性证书

• 发表时间: 2017
• 作者: Jessica Bavaresco;Mateus Arajo;Caslav Brukner;Marco Tulio Quintino;Marco Tulio Quintino
• 通讯作者: Marco Tulio Quintino

Quantum measurement incompatibility does not imply Bell nonlocality

• DOI: 10.1103/physreva.97.012129
• 发表时间: 2018-01-25
• 期刊: PHYSICAL REVIEW A
• 影响因子: 2.9
• 作者: Hirsch, Flavien;Quintino, Marco Tulio;Brunner, Nicolas
• 通讯作者: Brunner, Nicolas

Is Entanglement Equivalent to Nonlocality?

纠缠等于非定域性吗？

• 发表时间: 2017
• 作者: Jessica Bavaresco;Mateus Arajo;Caslav Brukner;Marco Tulio Quintino;Marco Tulio Quintino;Marco Tulio Quintino;Marco Tulio Quintino
• 通讯作者: Marco Tulio Quintino

The Cost of Implementing Non-Completely Positive Linear Maps: How to Construct "Forbidden" Quantum Operations and Supermaps

实现非完全正线性映射的成本：如何构造“禁止”的量子运算和超级映射

• 发表时间: 2018
• 作者: Qingxiuxiong Dong;Marco Tulio Quintino;Akihito Soeda;and Mio Murao
• 通讯作者: and Mio Murao