Ability of unbounded pairs of observers to achieve quantum advantage in random access codes with a single pair of qubits

Abstract

Complications in preparing and preserving quantum correlations stimulate recycling of a single quantum resource in information processing and communication tasks multiple times. Here, we consider a scenario involving multiple independent pairs of observers acting with unbiased inputs on a single pair of spatially separated qubits sequentially. In this scenario, we address whether more than one pair of observers can demonstrate quantum advantage in some specific $2\to 1$ and $3\to 1$ random access codes. Interestingly, we not only address these in the affirmative, but also illustrate that unbounded pairs can exhibit quantum advantage. Furthermore, these results remain valid even when all observers perform suitable projective measurements and an appropriate separable state is initially shared.

Close to published version

References in corpus (7)

• Semi-device-independent security of one-way quantum key distribution
• Preparation contextuality powers parity-oblivious multiplexing
• A lower bound on the dimension of a quantum system given measured data
• Quantum Random Access Codes using Single $d$-level Systems
• (4,1)-Quantum Random Access Coding Does Not Exist
• Sharing non-locality and non-trivial preparation contextuality using same family of Bell expressions
• The Learnability of Quantum States

Cited by in corpus (9)

• Einstein-Podolsky-Rosen Steering in Two-sided Sequential Measurements with One Entangled Pair
• Sequential sharing of two-qudit entanglement based on the entropic uncertainty relation
• Quantum Correlation Sharing: A Review On Recent Progress From Nonlocality To Other Non-Classical Correlations
• Creating quantum correlations in generalized entanglement swapping
• Resource theoretic efficacy of the single copy of a two-qubit entangled state in a sequential network
• Role of nonclassical temporal correlation in powering quantum random access codes
• Robust certification of quantum instruments through a sequential communication game
• Security of Device-independent Quantum Key Distribution under Sequential Attack
• Quantum advantage in a unified scenario and secure detection of resources