Quantum reading capacity: General definition and bounds
arXiv:1703.03706 · doi:10.1109/TIT.2019.2929925
Abstract
Quantum reading refers to the task of reading out classical information stored in a read-only memory device. In any such protocol, the transmitter and receiver are in the same physical location, and the goal of such a protocol is to use these devices (modeled by independent quantum channels), coupled with a quantum strategy, to read out as much information as possible from a memory device, such as a CD or DVD. As a consequence of the physical setup of quantum reading, the most natural and general definition for quantum reading capacity should allow for an adaptive operation after each call to the channel, and this is how we define quantum reading capacity in this paper. We also establish several bounds on quantum reading capacity, and we introduce an environment-parametrized memory cell with associated environment states, delivering second-order and strong converse bounds for its quantum reading capacity. We calculate the quantum reading capacities for some exemplary memory cells, including a thermal memory cell, a qudit erasure memory cell, and a qudit depolarizing memory cell. We finally provide an explicit example to illustrate the advantage of using an adaptive strategy in the context of zero-error quantum reading capacity.
v3: 17 pages, 2 figures, final version published in IEEE Transactions on Information Theory
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Cited by in corpus (12)
- Amortized Channel Divergence for Asymptotic Quantum Channel Discrimination
- Resource theory of asymmetric distinguishability for quantum channels
- Fundamental limits on quantum dynamics based on entropy change
- Geometric distinguishability measures limit quantum channel estimation and discrimination
- Entanglement and secret-key-agreement capacities of bipartite quantum interactions and read-only memory devices
- Experimental quantum reading with photon counting
- Uniqueness and Optimality of Dynamical Extensions of Divergences
- Capacities of Gaussian Quantum Channels with Passive Environment Assistance
- Communication Cost of Quantum Processes
- Using Quantum Switches to Mitigate Noise in Grover's Search Algorithm
- Fundamental limitations on the recoverability of quantum processes
- Quantum reading of quantum information