Abstract
The authors provide a method to widen the sharpness modulation region of sequential entanglement-assisted quantum random access code and show its application for sequential device independent randomness expansion.
Highlights
The encoding-decoding process is of vital importance in security communication
The random access code (RAC) is a communication protocol which allows us to encode an m-bit-long message into a shorter message of n bits such that any one of the m bits can be recovered with a success probability no less than 1/2
The diversity of the quantum random access code (QRAC) protocol provides a wide range of applications in network coding [8], quantum key distribution [9,10], random number generation [11], preparation contextuality [2], dimension witnessing [12], self-testing [13,14,15], and so on
Summary
The encoding-decoding process is of vital importance in security communication. How information can be encoded in a physical system and how much information can be retrieved lie at the core of communication theory. The random access code (RAC) is a communication protocol which allows us to encode an m-bit-long message into a shorter message of n bits such that any one of the m bits can be recovered with a success probability no less than 1/2. It has been shown that the probability can be increased if qubits are employed in encoding messages instead of classical bits [1]. Such a quantum random access code (QRAC) was first introduced for a simple preparation-and-measurement qubit system [1,2,3,4], and later developed for entanglement [5,6] and higher-dimensional quantum systems [7]. The diversity of the QRAC protocol provides a wide range of applications in network coding [8], quantum key distribution [9,10], random number generation [11], preparation contextuality [2], dimension witnessing [12], self-testing [13,14,15], and so on
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