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。我们将所得到的结果写在两篇论文中：《反转未知量子变换：反转一般酉运算的通用协议》（提交给《物理评论快报》）和《用输入状态的多个副本实现正映射》（提交给《物理评论A》）。关于量子酉运算问题，我们对酉运算的多种用途转换为逆运算的量子算法进行了更深入的分析。我们找到了一种系统方法来获得量子算法，用于转换量子酉运算的多个副本。这种系统方法采用基于半定规划的鲁棒数值方法，可以在三类中找到最佳协议：并行 - 输入副本可以同时使用 - 顺序 - 输入副本的使用以因果顺序方式进行 - 以及一般 - 输入操作的使用可能不遵守明确的因果顺序。通过这种方法，我们已经证明这三个类之间存在严格的层次结构，并且我们可以更好地理解具有不确定因果顺序的过程的力量和局限性。

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