Coherent States in Quantum Information: an Example of Experimental Manipulation in .NET framework

Painting Denso QR Bar Code in .NET framework Coherent States in Quantum Information: an Example of Experimental Manipulation
4 Coherent States in Quantum Information: an Example of Experimental Manipulation
Denso QR Bar Code Reader In .NET
Using Barcode Control SDK for VS .NET Control to generate, create, read, scan barcode image in VS .NET applications.
462 Photon Counting Distributions
QR-Code Creator In VS .NET
Using Barcode creation for VS .NET Control to generate, create Denso QR Bar Code image in Visual Studio .NET applications.
Given the alphabet A = ( 0 , 1 ), the feedback amplitude u(t), a transmission coef cient , and some subdivision (t 0 = 0, t 1 , , t n , t n+1 = ) of the measurement time interval (or counting interval ) [0, ], the conditional probability w t k | i , u(t) that a photon will arrive at time t k and that it will be the only click during the halfclosed interval (t k 1 , t k ] [7] is called the exponential waiting time distribution for optical coherent states It is de ned as w t k | i , u(t) = (t k ) exp
Quick Response Code Recognizer In .NET Framework
Using Barcode scanner for .NET framework Control to read, scan read, scan image in VS .NET applications.
(t ) dt
Barcode Creation In .NET
Using Barcode generator for Visual Studio .NET Control to generate, create bar code image in .NET framework applications.
t k 1
Bar Code Reader In Visual Studio .NET
Using Barcode recognizer for .NET Control to read, scan read, scan image in VS .NET applications.
(429)
Generate QR Code JIS X 0510 In Visual C#.NET
Using Barcode drawer for .NET framework Control to generate, create Quick Response Code image in .NET applications.
The corresponding exclusive counting densities for the measurement interval are then given by
Create Quick Response Code In Visual Studio .NET
Using Barcode drawer for ASP.NET Control to generate, create Denso QR Bar Code image in ASP.NET applications.
p t 1 , , t n | i , u(t) =
Print QR Code 2d Barcode In VB.NET
Using Barcode generator for .NET Control to generate, create QR Code image in Visual Studio .NET applications.
w t k | i , u(t)
Code39 Encoder In .NET
Using Barcode generator for .NET framework Control to generate, create Code 39 image in .NET applications.
(430)
Bar Code Printer In .NET Framework
Using Barcode encoder for Visual Studio .NET Control to generate, create barcode image in .NET applications.
They allow one to evaluate, using the Bayes rule, the conditional arrival time probabilities p i |t 1 , , t n , u(t) = p t 1 , , t n | i , u(t) p 0 ( i ) The latter re ect the likelihood that n photon arrivals occur precisely at the times t 1 , , t n , 3) given that the channel is in the state i , the feedback amplitude is u(t), and the detector quantum ef ciency is
Barcode Printer In .NET
Using Barcode maker for .NET framework Control to generate, create bar code image in .NET applications.
463 Decision Criterion of the Dolinar Receiver
Painting USD-3 In VS .NET
Using Barcode generation for VS .NET Control to generate, create Code 9/3 image in Visual Studio .NET applications.
The receiver decides between hypotheses H0 and H1 by selecting the one that is more consistent with the record of photon arrival times observed by the detector given the choice of u(t) H1 is selected when the ratio of conditional arrival time probabilities, = p 1 |t 1 , , t n , u(t) p 0 |t 1 , , t n , u(t) , (431)
Paint Bar Code In .NET Framework
Using Barcode encoder for ASP.NET Control to generate, create barcode image in ASP.NET applications.
is greater than one; otherwise it is assumed that 0 was transmitted By employing the Bayes rule, one can reexpress in terms of the photon counting distributions = p t 1 , , t n | 1 , u(t) p 0 ( 1 ) p t 1 , , t n | 0 , u(t) p 0 ( 0 ) =
Generate Bar Code In Visual Basic .NET
Using Barcode creation for .NET Control to generate, create barcode image in Visual Studio .NET applications.
p t 1 , , t n | 1 , u(t) p t 1 , , t n | 0 , u(t)
Code 39 Full ASCII Creator In Java
Using Barcode encoder for Java Control to generate, create USS Code 39 image in Java applications.
(432)
Barcode Creator In .NET Framework
Using Barcode generator for ASP.NET Control to generate, create barcode image in ASP.NET applications.
3) Even though the term arrival time is not appropriate from an experimental point of view Time interval is more appropriate
Barcode Decoder In Java
Using Barcode decoder for Java Control to read, scan read, scan image in Java applications.
46 The Dolinar Receiver
Drawing ANSI/AIM Code 39 In C#.NET
Using Barcode maker for .NET framework Control to generate, create Code 39 image in .NET framework applications.
In terms of error probabilities, the likelihood ratio is given by = p H1 | 1 , u(t) p H1 0 , u(t) = 1 p H0 | 1 , u(t) p H1 | 0 , u(t) , for > 1 (433)
Data Matrix ECC200 Printer In .NET Framework
Using Barcode encoder for ASP.NET Control to generate, create ECC200 image in ASP.NET applications.
(ie, the receiver de nitely selects H1 ), and = p H0 | 1 , u(t) p H0 | 0 , u(t) = p H0 | 1 , u(t) 1 p H1 | 0 , u(t) , for < 1 (434)
ANSI/AIM Code 39 Creation In VB.NET
Using Barcode generation for .NET Control to generate, create Code 39 image in .NET applications.
(ie, the receiver de nitely selects H0 )
464 Optimal Control
The minimization over u(t) of the Dolinar receiver error probability, P D [u(t)] =
0 p
H 1 | 0 , u(t) +
1 p
H 0 | 1 , u(t) ,
(435)
can be accomplished by employing the technique of dynamical programming [47] The optimal control policy, u (t), is identi ed by solving the Hamilton Jacobi Bellman equation, min
u(t)
J [u(t)] + p J [u(t)]T p(t) = 0 , t t
(436)
where the control cost J [u(t)] = P D [u(t)] = given by the conditional error probabilities, p(t) = p H 1 | 0 , u(t) (t) p H 0 | 1 , u(t) (t)
p in an effective state-space picture
(437)
The partial differential equation for J is based on the requirement that p(t) and u(t) are smooth (continuous and differentiable) throughout the entire receiver operation However, like all quantum point processes, our conditional knowledge of the system state evolves smoothly only between photon arrivals Fortunately, the dynamical programming optimality principle allows us to optimize u(t) in a piecewise manner [47] Performing the piecewise minimization leads to the control policy u (t) = 1 (t) 1 + 1 J [u (t)] 1 1 2J [u (t)] 1 (438)
for > 1 (see [42] for the proof), where p [H0 | 1 , u (t)] = 0 and 1 J [u (t)] = 1
t 1 p [H1 | 0 , u 1 (t)]
1 1 2
0 1e