| 研究開始時の研究の概要 |
In this research, we aim to establish a theoretical framework of operational characterization of entanglement between modes in composite multi-photon linear optics network systems, such that the gap between the mathematical properties of entanglement in qudit systems and the physical properties of entanglement in multi-photon linear optics networks can be bridged. We will further enhance the accessibility of multi-photon entanglement in linear optics networks by establishing a theoretical framework for super-operational networks of linear optics circuits to share quantum operational power.
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| 研究実績の概要 |
In 2020, we have continued our research on the characterization of quantum states in multiphoton linear optics networks.
We have established a theory for the characterization of complementary properties in multiphoton linear optics networks (LONs) in an experimentally feasible way, which has been published in “New Journal of Physics 22, 103054 (2020)”. This theory can be then employed for entanglement detection in multiphoton LON systems without falling into the computational complexity of boson sampling. It allows us to extend well-established methods for entanglement detection in multipartite qudit systems to multipartite LONs. As a result, “entanglement between modes” in multiphoton LON systems can be physically detected in measurements. We have presented this result at the conferences “AQIS 2020” and “QIP 2021”.
A step further than the entanglement detection, we would like to evaluate the similarity between a quantum state and a target state in LONs. To this end, we need to first establish a theory for quantum state fidelity estimation employing state verifiers. We have therefore proposed a protocol for quantum state fidelity estimation for entangled states in bipartite qudit systems employing a set of local measurements, which has been published in “Entropy 22, 889 (2020)”. Based on this theory, one can construct and evaluate state verifiers for multiphoton states in LONs in experiments to estimate lower and upper bounds on quantum state fidelity. This result has been presented at the conference “Workshop on quantum information science 2020”.
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