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Masaki Sohma

Publications and source records attributed to Masaki Sohma.

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Quantum estimation theory with quantum noise control

Quantum estimation theory serves as one of fundamental backbones of quantum Shannon information theory and was mathematically systematized by pioneers of quantum information science. Although its applied research saw limited progress for a long period, the 21st century has witnessed active discussions and numerous fruitful proposals regarding its applications. Notably, the contributions of Monras and Paris represent one of the most remarkable achievements addressing the realization problem of estimation bounds. This paper aims to demonstrate a practical direction for extending their original ideas. Next-generation quantum information mechanisms urgently demand guarantees of quantum advantage unattainable by classical theory, alongside strict real-time processing without delays. By leveraging the concept of generalized heterodyne detection proposed nearly half a century ago, we demonstrate that a scheme based on their results can effectively meet the stringent requirements of near-future information technologies.

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An improvement of optical PPM communication with high security

The purpose of this paper is to celebrate Sir D. Payne's 80th birthday by dedicating our latest results as a continuation of his work in optical communications. One of the important issues in optical communications is to protect the transmission information data passing through optical fiber channels. Many ideas have been proposed and are being actively developed to implement in the physical layer of ultra-high-speed communications. As a representative example, a methodology that achieves this goal by fusing modulation techniques in ordinary optical communications and mathematical cipher is being actively studied. To further clarify this advantage, a theoretical concept has been proposed to solve the problem by adopting a PPM code format. However, this scheme has several difficulties at the implementation stage. Thus, this paper presents an optical scheme on modulation and receiver that eliminate those drawbacks.

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Digest of Quantum Stream Cipher based on Holevo-Yuen Theory

So far, quantum key distribution (QKD) has been the main subject in the field of quantum cryptography, but that is not quantum cryptographic communication, it is only the ability to send keys for cryptographic purposes. To complete cryptographic communication, a technique for encrypting data is necessary, and the conventional cryptographic technique of mathematical symmetric key cipher or One Time Pad (OTP) is adopted in the discussion so far. However, OTP is not the ultimate cipher for data encryption, because it does not satisfy security conditions in the modern cryptology. Around 2000, a new quantum stream cipher was proposed as a technique to challenge the possibility of overcoming drawbacks of OTP in practical use. Recently, we have published some review papers on it in Entropy (Open access journal), and others. This paper introduces an overview and a back ground of our paper that is entitled Quantum stream cipher based on Holevo-Yuen theory.

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Masking Property of Quantum Random Cipher with Phase Mask Encryption -Towards Quantum Enigma Cipher-

The security analysis of physical encryption protocol based on coherent pulse position modulation(CPPM) originated by Yuen is one of the most interesting topics in the study of cryptosystem with a security level beyond the Shannon limit. Although the implementation of CPPM scheme has certain difficulty, several methods have been proposed recently. This paper deals with the CPPM encryption in terms of symplectic transformation, which includes a phase mask encryption as a special example, and formulates a unified security analysis for such encryption schemes. Specifically, we give a lower bound of Eve's symbol error probability using reliability function theory to ensure that our proposed system exceeds the Shannon limit. Then we assume the secret key is given to Eve after her heterodyne measurement. Since this assumption means that Eve has a great advantage in the sense of the conventional cryptography, the lower bound of her error indeed ensures the security level beyond the Shannon limit. In addition, we show some numerical examples of the security performance.

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Coherent pulse position modulation quantum cipher supported by secret key

A quantum cipher supported by a secret key so called keyed communication in quantum noise (KCQ) is very attractive in implementing high speed key generation and secure data transmission. However, Yuen-2000 as a basic model of KCQ has a difficulty to ensure the quantitative security evaluation because all physical parameter for the cipher system is finite. Recently, an outline of a generalized scheme so called coherent pulse position modulation(CPPM) to show the rigorous security analysis is given, where the parameters are allowed to be asymptotical. This may open a new way for the quantum key distribution with coherent states of considerable energy and high speed. In this paper, we clarify a generation method of CPPM quantum signal by using a theory of unitary operator and symplectic transformation, and show an asymptotic property of security and its numerical examples.

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Quantum stream cipher by Yuen 2000 protocol: Design and experiment by intensity modulation scheme

This paper shall investigate Yuen protocol, so called Y-00, which can realize a randomized stream cipher with high bit rate(Gbps) for long distance(several hundreds km). The randomized stream cipher with randomization by quantum noise based on Y-00 is called quantum stream cipher in this paper, and it may have security against known plaintext attacks which has no analog with any conventional symmetric key ciphers. We present a simple cryptanalysis based on an attacker's heterodyne measurement and the quantum unambiguous measurement to make clear the strength of Y-00 in real communication. In addition, we give a design for the implementation of an intensity modulation scheme and report the experimental demonstration of 1 Gbps quantum stream cipher through 20 km long transmission line.

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A quantum symmetric key cipher(Y-00) and key generation (Quantum stream cipher-Part II)

What obstructs the realization of useful quantum cryptography is single photon scheme, or entanglement which is not applicable to the current infrastructure of optical communication network. We are concerned with the following question: Can we realize the information theoretically secure symmetric key cipher under "the finite secret key" based on quantum-optical communications? A role of quantum information theory is to give an answer for such a question. As an answer for the question, a new quantum cryptography was proposed by H.P.Yuen, which can realize a secure symmetric key cipher with high speeds(Gbps) and for long distance(1000 Km). Although some researchers claim that Yuen protocol(Y-00) is equivalent to the classical cryptography, they are all mistaken. Indeed it has no classical analogue, and also provides a generalization even in the conventional cryptography. At present, it is proved that a basic model of Y-00 has at least the security such as $H(X|Y_E)=H(K|Y_E)=H(K)$, $H(K|Y_E,X)\sim 0$ under the average photon number per signal light pulse:$ \sim 10000$. Towards our final goal, in this paper, we clarify a role of classical randomness(secret key) and quantum randomness in Y-00, and give a rigorous quantum mechanical interpretation of the security, showing an analysis of quantum collective attack.

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Quantum stream cipher based on optical communications

In 2000, an attractive new quantum cryptography was discovered by H.P.Yuen based on quantum communication theory. It is applicable to direct encryption, for example quantum stream cipher based on Yuen protocol(Y-00), with high speeds and for long distance by sophisticated optical devices which can work under the average photon number per signal light pulse:$ = 1000 \sim 10000$. In addition, it may provide information-theoretic security against known/chosen plaintext attack, which has no classical analogue. That is, one can provide secure communication, even the system has $H(K) << H(X)$. In this paper, first, we give a brief review on the general logic of Yuen's theory. Then, we show concrete security analysis of quantum stream cipher to quantum individual measurement attacks. Especially by showing the analysis of Lo-Ko known plaintext attack, the feature of Y-00 is clarified. In addition, we give a simple experimental result on the advantage distillation by scheme consisting of intensity modulation/direct detection optical communication.

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Information capacity formula of quantum optical channels

The applications of the general formulae of channel capacity developed in the quantum information theory to evaluation of information transmission capacity of optical channel are interesting subjects. In this review paper, we will point out that the formulation based on only classical-quantum channel mapping model may be inadequate when one takes into account a power constraint for noisy channel. To define the power constraint well, we should explicitly consider how quantum states are conveyed through a transmission channel. Basing on such consideration, we calculate a capacity formula for an attenuated noisy optical channel with genreral Gaussian state input; this gives certain progress beyond the example in our former paper.

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Entangled Nonorthogonal States and Their Decoherence Properties

This paper presents properties of the so-called quasi-Bell states: entangled states written as superpositions of nonorthogonal states. It is shown that a special class of those states, namely entangled coherent states, are more robust against decoherence due to photon absorption than the standard bi-photon Bell states.

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