5 research outputs found
Super-additivity and entanglement assistance in quantum reading
Quantum information theory determines the maximum rates at which information can be transmitted through physical systems described by quantum mechanics. Here we consider the communication protocol known as quantum reading. Quantum reading is a protocol for retrieving the information stored in a digital memory by using a quantum probe, e.g., shining quantum states of light to read an optical memory. In a variety of situations using a quantum probe enhances the performance of the reading protocol in terms of fidelity, data density and energy efficiency. Here we review and characterize the quantum reading capacity of a memory model, defined as the maximum rate of reliable reading. We show that, like other quantities in quantum information theory, the quantum reading capacity is super-additive. Moreover, we determine conditions under which the use of an entangled ancilla improves the performance of quantum reading
Quantum reading capacity: General definition and bounds
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.Comment: v3: 17 pages, 2 figures, final version published in IEEE Transactions
on Information Theor
Entanglement and secret-key-agreement capacities of bipartite quantum interactions and read-only memory devices
A bipartite quantum interaction corresponds to the most general quantum
interaction that can occur between two quantum systems in the presence of a
bath. In this work, we determine bounds on the capacities of bipartite
interactions for entanglement generation and secret key agreement between two
quantum systems. Our upper bound on the entanglement generation capacity of a
bipartite quantum interaction is given by a quantity called the bidirectional
max-Rains information. Our upper bound on the secret-key-agreement capacity of
a bipartite quantum interaction is given by a related quantity called the
bidirectional max-relative entropy of entanglement. We also derive tighter
upper bounds on the capacities of bipartite interactions obeying certain
symmetries. Observing that reading of a memory device is a particular kind of
bipartite quantum interaction, we leverage our bounds from the bidirectional
setting to deliver bounds on the capacity of a task that we introduce, called
private reading of a wiretap memory cell. Given a set of point-to-point quantum
wiretap channels, the goal of private reading is for an encoder to form
codewords from these channels, in order to establish secret key with a party
who controls one input and one output of the channels, while a passive
eavesdropper has access to one output of the channels. We derive both lower and
upper bounds on the private reading capacities of a wiretap memory cell. We
then extend these results to determine achievable rates for the generation of
entanglement between two distant parties who have coherent access to a
controlled point-to-point channel, which is a particular kind of bipartite
interaction.Comment: v3: 34 pages, 3 figures, accepted for publication in Physical Review
Bipartite Quantum Interactions: Entangling and Information Processing Abilities
The aim of this thesis is to advance the theory behind quantum information
processing tasks, by deriving fundamental limits on bipartite quantum
interactions and dynamics, which corresponds to an underlying Hamiltonian that
governs the physical transformation of a two-body open quantum system. The goal
is to determine entangling abilities of such arbitrary bipartite quantum
interactions. Doing so provides fundamental limitations on information
processing tasks, including entanglement distillation and secret key
generation, over a bipartite quantum network. We also discuss limitations on
the entropy change and its rate for dynamics of an open quantum system weakly
interacting with the bath. We introduce a measure of non-unitarity to
characterize the deviation of a doubly stochastic quantum process from a
noiseless evolution.
Next, we introduce information processing tasks for secure read-out of
digital information encoded in read-only memory devices against adversaries of
varying capabilities. The task of reading a memory device involves the
identification of an interaction process between probe system, which is in
known state, and the memory device. Essentially, the information is stored in
the choice of channels, which are noisy quantum processes in general and are
chosen from a publicly known set. Hence, it becomes pertinent to securely read
memory devices against scrutiny of an adversary. In particular, for a secure
read-out task called private reading when a reader is under surveillance of a
passive eavesdropper, we have determined upper bounds on its performance. We do
so by leveraging the fact that private reading of digital information stored in
a memory device can be understood as secret key agreement via a specific kind
of bipartite quantum interaction.Comment: PhD Thesis (minor revision). Also available at:
https://digitalcommons.lsu.edu/gradschool_dissertations/4717