7,722 research outputs found
Approximate quantum error correction can lead to better codes
We present relaxed criteria for quantum error correction which are useful
when the specific dominant noise process is known. These criteria have no
classical analogue. As an example, we provide a four-bit code which corrects
for a single amplitude damping error. This code violates the usual Hamming
bound calculated for a Pauli description of the error process, and does not fit
into the GF(4) classification.Comment: 7 pages, 2 figures, submitted to Phys. Rev.
Realization of generalized quantum searching using nuclear magnetic resonance
According to the theoretical results, the quantum searching algorithm can be
generalized by replacing the Walsh-Hadamard(W-H) transform by almost any
quantum mechanical operation. We have implemented the generalized algorithm
using nuclear magnetic resonance techniques with a solution of chloroform
molecules. Experimental results show the good agreement between theory and
experiment.Comment: 11 pages,3 figure. Accepted by Phys. Rev. A. Scheduled Issue: 01 Mar
200
Fast Quantum Search Algorithms in Protein Sequence Comparison - Quantum Biocomputing
Quantum search algorithms are considered in the context of protein sequence
comparison in biocomputing. Given a sample protein sequence of length m (i.e m
residues), the problem considered is to find an optimal match in a large
database containing N residues. Initially, Grover's quantum search algorithm is
applied to a simple illustrative case - namely where the database forms a
complete set of states over the 2^m basis states of a m qubit register, and
thus is known to contain the exact sequence of interest. This example
demonstrates explicitly the typical O(sqrt{N}) speedup on the classical O(N)
requirements. An algorithm is then presented for the (more realistic) case
where the database may contain repeat sequences, and may not necessarily
contain an exact match to the sample sequence. In terms of minimizing the
Hamming distance between the sample sequence and the database subsequences the
algorithm finds an optimal alignment, in O(sqrt{N}) steps, by employing an
extension of Grover's algorithm, due to Boyer, Brassard, Hoyer and Tapp for the
case when the number of matches is not a priori known.Comment: LaTeX, 5 page
Realization of logically labeled effective pure states for bulk quantum computation
We report the first use of "logical labeling" to perform a quantum
computation with a room-temperature bulk system. This method entails the
selection of a subsystem which behaves as if it were at zero temperature -
except for a decrease in signal strength - conditioned upon the state of the
remaining system. No averaging over differently prepared molecules is required.
In order to test this concept, we execute a quantum search algorithm in a
subspace of two nuclear spins, labeled by a third spin, using solution nuclear
magnetic resonance (NMR), and employing a novel choice of reference frame to
uncouple nuclei.Comment: PRL 83, 3085 (1999). Small changes made to improve readability and
remove ambiguitie
Lossless quantum data compression and variable-length coding
In order to compress quantum messages without loss of information it is
necessary to allow the length of the encoded messages to vary. We develop a
general framework for variable-length quantum messages in close analogy to the
classical case and show that lossless compression is only possible if the
message to be compressed is known to the sender. The lossless compression of an
ensemble of messages is bounded from below by its von-Neumann entropy. We show
that it is possible to reduce the number of qbits passing through a quantum
channel even below the von-Neumann entropy by adding a classical side-channel.
We give an explicit communication protocol that realizes lossless and
instantaneous quantum data compression and apply it to a simple example. This
protocol can be used for both online quantum communication and storage of
quantum data.Comment: 16 pages, 5 figure
Relativistic Doppler effect in quantum communication
When an electromagnetic signal propagates in vacuo, a polarization detector
cannot be rigorously perpendicular to the wave vector because of diffraction
effects. The vacuum behaves as a noisy channel, even if the detectors are
perfect. The ``noise'' can however be reduced and nearly cancelled by a
relative motion of the observer toward the source. The standard definition of a
reduced density matrix fails for photon polarization, because the
transversality condition behaves like a superselection rule. We can however
define an effective reduced density matrix which corresponds to a restricted
class of positive operator-valued measures. There are no pure photon qubits,
and no exactly orthogonal qubit states.Comment: 10 pages LaTe
Angular distribution of photoluminescence as a probe of Bose Condensation of trapped excitons
Recent experiments on two-dimensional exciton systems have shown the excitons
collect in shallow in-plane traps. We find that Bose condensation in a trap
results in a dramatic change of the exciton photoluminescence (PL) angular
distribution. The long-range coherence of the condensed state gives rise to a
sharply focussed peak of radiation in the direction normal to the plane. By
comparing the PL profile with and without Bose Condensation we provide a simple
diagnostic for the existence of a Bose condensate. The PL peak has strong
temperature dependence due to the thermal order parameter phase fluctuations
across the system. The angular PL distribution can also be used for imaging
vortices in the trapped condensate. Vortex phase spatial variation leads to
destructive interference of PL radiation in certain directions, creating nodes
in the PL distribution that imprint the vortex configuration.Comment: 4 pages, 3 figure
Incomplete quantum process tomography and principle of maximal entropy
The main goal of this paper is to extend and apply the principle of maximum
entropy (MaxEnt) to incomplete quantum process estimation tasks. We will define
a so-called process entropy function being the von Neumann entropy of the state
associated with the quantum process via Choi-Jamiolkowski isomorphism. It will
be shown that an arbitrary process estimation experiment can be reformulated in
a unified framework and MaxEnt principle can be consistently exploited. We will
argue that the suggested choice for the process entropy satisfies natural list
of properties and it reduces to the state MaxEnt principle, if applied to
preparator devices.Comment: 8 pages, comments welcome, references adde
Classical model for bulk-ensemble NMR quantum computation
We present a classical model for bulk-ensemble NMR quantum computation: the
quantum state of the NMR sample is described by a probability distribution over
the orientations of classical tops, and quantum gates are described by
classical transition probabilities. All NMR quantum computing experiments
performed so far with three quantum bits can be accounted for in this classical
model. After a few entangling gates, the classical model suffers an exponential
decrease of the measured signal, whereas there is no corresponding decrease in
the quantum description. We suggest that for small numbers of quantum bits, the
quantum nature of NMR quantum computation lies in the ability to avoid an
exponential signal decrease.Comment: 14 pages, no figures, revte
Validating IoT Devices with Rate-Based Session Types
We develop a session types based framework for implementing and validating rate-based message passing systems in Internet of Things (IoT) domains. To model the indefinite repetition present in many embedded and IoT systems, we introduce a timed process calculus with a periodic recursion primitive. This allows us to model rate-based computations and communications inherent to these application domains. We introduce a definition of rate based session types in a binary session types setting and a new compatibility relationship, which we call rate compatibility. Programs which type check enjoy the standard session types guarantees as well as rate error freedom --- meaning processes which exchanges messages do so at the same rate. Rate compatibility is defined through a new notion of type expansion, a relation that allows communication between processes of differing periods by synthesizing and checking a common superperiod type. We prove type preservation and rate error freedom for our system, and show a decidable method for type checking based on computing superperiods for a collection of processes. We implement a prototype of our type system including rate compatibility via an embedding into the native type system of Rust. We apply this framework to a range of examples from our target domain such as Android software sensors, wearable devices, and sound processing
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