424 research outputs found
Error Analysis For Encoding A Qubit In An Oscillator
In the paper titled "Encoding A Qubit In An Oscillator" Gottesman, Kitaev,
and Preskill [quant-ph/0008040] described a method to encode a qubit in the
continuous Hilbert space of an oscillator's position and momentum variables.
This encoding provides a natural error correction scheme that can correct
errors due to small shifts of the position or momentum wave functions (i.e.,
use of the displacement operator). We present bounds on the size of correctable
shift errors when both qubit and ancilla states may contain errors. We then use
these bounds to constrain the quality of input qubit and ancilla states.Comment: 5 pages, 8 figures, submitted to Physical Review
Transmission Of Optical Coherent State Qubits
We discuss the long distance transmission of qubits encoded in optical
coherent states. Through absorption these qubits suffer from two main types of
errors, the reduction of the amplitude of the coherent states and accidental
application of the Pauli Z operator. We show how these errors can be fixed
using techniques of teleportation and error correcting codes.Comment: Added two pages of explanation/background/review material to increase
readability and clarity. Corrected minor typographical and linguistic error
All-optical generation of states for "Encoding a qubit in an oscillator"
Both discrete and continuous systems can be used to encode quantum
information. Most quantum computation schemes propose encoding qubits in
two-level systems, such as a two-level atom or an electron spin. Others exploit
the use of an infinite-dimensional system, such as a harmonic oscillator. In
"Encoding a qubit in an oscillator" [Phys. Rev. A 64 012310 (2001)], Gottesman,
Kitaev, and Preskill (GKP) combined these approaches when they proposed a
fault-tolerant quantum computation scheme in which a qubit is encoded in the
continuous position and momentum degrees of freedom of an oscillator. One
advantage of this scheme is that it can be performed by use of relatively
simple linear optical devices, squeezing, and homodyne detection. However, we
lack a practical method to prepare the initial GKP states. Here we propose the
generation of an approximate GKP state by using superpositions of optical
coherent states (sometimes called "Schr\"odinger cat states"), squeezing,
linear optical devices, and homodyne detection.Comment: 4 pages, 3 figures. Submitted to Optics Letter
Cardiac Responses to β-adrenergic Stimulation and Induced Vasodilation are Similar in Young Male and Female Rats
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Quantum computation with optical coherent states
We show that quantum computation circuits using coherent states as the
logical qubits can be constructed from simple linear networks, conditional
photon measurements and "small" coherent superposition resource states
Cardiac Response to β2 - A drenergic Stimulation is Attenuated in Old Rats Despite Higher Protein Expression
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