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Entanglement Sampling and Applications

A natural measure for the amount of quantum information that a physical system $E$ holds about another system $A = A_{1},ldots ,A_{n}$ is given by the min-entropy $ {rm H}_{min }(A|E)$ . In particular, the min-entropy measures the amount of entanglement between $E$ and $A$ , and is the relevant measure when analyzing a wide variety of problems ranging from randomness extraction in quantum cryptography, decoupling used in channel coding, to physical processes such as thermalization or the thermodynamic work cost (or gain) of erasing a quantum system. As such, it is a central question to determine the behavior of the min-entropy after some process$mathcal {M}$ is applied to the system $A$ . Here, we introduce a new generic tool relating the resulting min-entropy to the original one, and apply it to several settings of interest. A simple example of such a process is the one of sampling, where a subset $S$ of the systems $A_{1},ldots ,A_{n}$ is selected at random. Our tool allows us to quantify the entanglement that $E$ has with the selected systems $A_{S}$ , i.e., $ {rm H}_{min }(A_{S}|ES)$ as a function – f the original $ {rm H}_{min }(A|E)$ .We give two applications of this result.

First, it directly provides the first local quantum-to-classical randomness extractors for use in quantum cryptography, as well as decoupling operations acting on only a small fraction $A_{S}$ of the input $A$ . Moreover, it gives lower bounds on the dimension of $k$ -out-of- $n$ fully quantum random access encodings. Another natural example of such a process is a measurement in, e.g., BB84 bases commonly used in quantum cryptography. We establish the first entropic uncertainty relations with quantum side information that are nontrivial whenever $E$ is not maximally entangled with$A$ . As a consequence, we are able to prove optimality of quantum cryptographic schemes in the noisy-storage model. This model allows for the secure implementation of two-party cryptographic primitives under the assumption that the adversary cannot store quantum information perfectly. A special case is the bounded-quantum-storage model (BQSM), which assumes that the adversary’s quantum memory device is noise free but limited in size. Ever since the inception of the BQSM, it has been a vexing open question to determine whether the security is possible as long as the adversary can only store strictly less than the number of qubits $n$transmitted during the protocol. Here, we show that security is even possible as long as the adversa

Similar IEEE Project Titles:

1.Chaotic Cryptography Using Augmented Lorenz Equations Aided by Quantum Key Distribution.
2.Quantum Photonic Network: Concept, Basic Tools, and Future Issues.
3.A High-Speed FPGA Implementation of an RSD-Based ECC Processor.
4.Safeguarding Quantum Key Distribution Through Detection Randomization.
5.Risk Analysis of Trojan-Horse Attacks on Practical Quantum Key Distribution Systems.
6.Fast and Generic Inversion Architectures over GF(2m) Using Modified Itoh-Tsujii Algorithms.
7.Time-Bound Anonymous Authentication for Roaming Networks.
8.Implementation of a New Lightweight Encryption Design for Embedded Security.
9.The Error Tolerance Bound for Secure Multi-Qubit QKD Against Incoherent Attack.
10.Scalable Elliptic Curve Cryptosystem FPGA Processor for NIST Prime Curves.
11.Minimizing Pixel Expansion in Visual Cryptographic Scheme for General Access Structures.
12.Customized Certificate Revocation Lists for IEEE 802.11s-Based Smart Grid AMI Networks.
13.User-Defined Privacy Grid System for Continuous Location-Based Services.
14.Effective Key Management in Dynamic Wireless Sensor Networks.
15. Effectively Exploiting Parasitic Arrays for Secret Key Sharing.
16.High-Speed Polynomial Multiplication Architecture for Ring-LWE and SHE Cryptosystems.
17.Adaptively Secure Identity-Based Broadcast Encryption with a Constant-sized Ciphertext.
18.Secret Communication Using Parallel Combinatory Spreading WFRFT.
19.Measurement-Device-Independent Quantum Cryptography.

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