Niobium(IV) fluoride: Difference between revisions

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{{context|date=September 2010}}
<br><br>Once you start exploring the world of pocket knives, you'll shortly come across the name of Ken Onion. At the end of this assessment of the Kershaw Ken Onion Leek Folding Knife, I do have slightly extra information about Ken that actually modified my understanding behind his designs. The handle is made from pure stainless steel that has been bead-blasted, which gives it a clear, smooth look. It makes use of a frame-lock, which implies that a part of the deal with types the lock instead of getting a liner lock. One potential downside is that the stainless-steel deal with can change into slippery if wet or using gloves. Special Features<br><br>Hunters alternatively will go for a drop point knife which has thick blade. This specific type is best suited for skinning animals within the field. This is because of the truth that they have thick and curved blades. With this sort, it is doable to make use of all the edge and never solely the purpose. This is most likely the reason why this type is liked by many. My blade got here actually sharp, actually much sharper than any of the other knives that I’ve tested from the Gerber Bear Grylls line up apart from the Bear Grylls Compact Fastened blade knife that was razor sharp out of the field.<br><br>For a twin-angle edge, begin with a coarse-grit stone. The first angle should be about 22 levels. It is safest to set the stone on a firm surface – desk or shop bench – and work the blade along its size. A great tip is to relaxation the stone on a washcloth, shop towel or related floor to keep it from sliding round on the table or bench. To place the blade properly lay the blade flat on the stone dealing with away from you. Now elevate the back fringe of the blade until it forms an approximate 22 diploma angle with the leading edge nonetheless touching the stone.<br><br>With so many places to search out pocket knives what makes us so unique? Solely here do you get free transport on all pocket knife orders over $200. That's right. Anything on our site comes free of all transport costs, if the Order Whole exceeds $200. The value that's listed is the value that you pay. Pocket Knives For Sale  Purchase Pocket Knives Welcome to PocketKnifeCentral.com, where you will find 100% pocket knives for all wants and, even more essential, for all budgets. Now we have plenty of pocket knives on the market, so be at liberty to take your time and look around.<br><br>Camping. There are tons of various issues you could use a pocket knife for while camping corresponding to creating tinder, gutting a fish, cutting rope, and slicing up your shirt to make a sling whenever you slip off the sting of a hill while hiking and break your arm. You already know that’s going to occur to any individual [http://www.thebestpocketknifereviews.com/kershaw-knives-reviews/ www.Thebestpocketknifereviews.com]! By the late sixteenth Century, pocket knives began to regain popularity. They were especially popular within the American colonies. From farmers to attorneys, males from all walks of life started to hold them. The final word moveable tool, the pocket knife was a helpful support in varied duties, together with eating on the go.<br><br>The basic types of pocket knives are the single blade , the multi-blade , or the multi-instrument knife. If you are just searching for a small everyday knife to carry in your pocket for these occasions when you find yourself asking “does anybody have a knife?” – then either a small single blade or multi-blade knife will do the trick. Both [http://en.wikipedia.org/wiki/Blade camping knife] a locking blade or a non-locking blade will be ample for small everyday makes use of, but when you can be using your knife for a [http://Ner.Vse.cz80/wiki/index.php/Kershaw_Auto-tek_Knife_Sharpener_Review heavier] workload, you might need to consider a slightly larger locking blade pocket knife for safety.<br><br>Kershaw – Blade quality on these are superb. Simply the sharpest knife I have ever owned and easy to maintain the blade sharp. My one massive complaint is that they're a bit pricey and the two that I've owned each relied on assisted opening. One of the assisted opening on one of the knives failed utterly at some point. This was in all probability 9 to 10 years ago so there's a good probability that they've improved on their quality. In order for you an excellent pocket knife, but do not know what type you would favor, undergo the checklist on How To Choose a Pocket Knife
{{Expert-subject|date=September 2010}}
 
In [[quantum computing]], the '''quantum phase estimation algorithm''' is a [[quantum algorithm]] that finds many applications as a subroutine in other algorithms. The quantum phase estimation algorithm allows one to estimate the eigenphase of an eigenvector of a unitary gate, given access to a quantum state proportional to the eigenvector and a procedure to implement the unitary conditionally.
 
==The Problem==
Let ''U'' be a [[unitary operator]] that operates on ''m'' qubits. Then all of the eigenvalues of ''U'' have absolute value 1. Thus the [[spectrum]] of a unitary operator consists of phases <math>e^{2\pi i\theta}</math>. Given an eigenvector <math>\left| \psi \right\rangle</math>, such that <math>U\left| \psi \right\rangle =  e^{2\pi i \theta}\left|\psi \right\rangle</math>, the objective is to estimate <math>\theta</math>. The phase estimation algorithm solves this problem.
 
==The Algorithm==
[[Image:Quantum phase estimation.svg|400px|thumb|right|[[Quantum circuit]] representation of the phase estimation algorithm]]
Suppose we wish to compute the phases to an accuracy of ''n'' bits. We achieve this by subjecting our eigenvector <math>\left| \psi \right\rangle</math> of <math>U</math> to a succession of ''n'' controlled operators, followed by the inverse of the [[quantum Fourier transform]]. The controlled operators are the powers of <math>U</math> from <math>U</math> to controlled <math>U^{2^{n-1}}</math>.
 
After putting the control lines into the Hadamard state, we have
:<math>\frac{1}{\sqrt{2^{n}}} \sum_x \left| x \right\rangle \otimes \left| \psi \right\rangle</math>.
After the controlled application of <math>U</math>, we have
:<math>\frac{1}{\sqrt{2^{n}}} \sum_x e^{ix\theta} \left| x \right\rangle \otimes \left| \psi \right\rangle</math>.
 
Applying the inverse of the [[quantum Fourier transform]] upon the ''n'' qubits yields
:<math>\frac{1}{2^n} \sum_y \sum_x e^{-2\pi i x\cdot y/2^n} e^{ix\theta} \left| y \right\rangle \otimes \left| \psi \right\rangle = \frac{1}{2^n} \sum_y \frac{ e^{i 2^n \theta} - 1 }{ e^{i\left( \theta - 2\pi y/2^n \right)} - 1 } \left| y \right\rangle \otimes \left| \psi \right\rangle</math>.
 
If the phase is exactly a <math>2^n</math> root of unity, the quantum Fourier transform will single out that phase in binary expansion. If
not, there will  be a probability distribution clustered around the correct phase.
 
If <math>\left| \psi \right\rangle</math> is really a superposition of eigenstates, there is a weighted probability distribution over the individual eigenstates, with the weight given by the [[Born probabilities]]. This is because eigenstates corresponding to different eigenvalues are orthogonal.
 
Note that this algorithm is only efficient if we can compute <math>U^{2^n}</math> in some time polynomial in <math>n</math>. There are unitary operators for which this is the case, and there are those for which this isn't. If we only have access to <math>U</math> as an oracle, then we need exponentially many calls to <math>U</math> to compute <math>U^{2^{n}}</math>.
 
==See also==
* [[Shor's algorithm]]
 
==References==
*{{cite web |url=http://arxiv.org/abs/quant-ph/9511026 |title= Quantum measurements and the Abelian Stabilizer Problem |author=Alexei Kitaev |date=1995-11-20}}
*{{cite web |url=http://pages.cs.wisc.edu/~dieter/Courses/2010f-CS880/Scribes/10/lecture10.pdf |title=Eigenvalue Estimation |author=Dieter van Melkebeek |date=2010-09-27}}
 
{{quantum computing}}
 
{{DEFAULTSORT:Quantum Phase Estimation Algorithm}}
[[Category:Quantum algorithms]]

Latest revision as of 13:51, 8 December 2014



Once you start exploring the world of pocket knives, you'll shortly come across the name of Ken Onion. At the end of this assessment of the Kershaw Ken Onion Leek Folding Knife, I do have slightly extra information about Ken that actually modified my understanding behind his designs. The handle is made from pure stainless steel that has been bead-blasted, which gives it a clear, smooth look. It makes use of a frame-lock, which implies that a part of the deal with types the lock instead of getting a liner lock. One potential downside is that the stainless-steel deal with can change into slippery if wet or using gloves. Special Features

Hunters alternatively will go for a drop point knife which has thick blade. This specific type is best suited for skinning animals within the field. This is because of the truth that they have thick and curved blades. With this sort, it is doable to make use of all the edge and never solely the purpose. This is most likely the reason why this type is liked by many. My blade got here actually sharp, actually much sharper than any of the other knives that I’ve tested from the Gerber Bear Grylls line up apart from the Bear Grylls Compact Fastened blade knife that was razor sharp out of the field.

For a twin-angle edge, begin with a coarse-grit stone. The first angle should be about 22 levels. It is safest to set the stone on a firm surface – desk or shop bench – and work the blade along its size. A great tip is to relaxation the stone on a washcloth, shop towel or related floor to keep it from sliding round on the table or bench. To place the blade properly lay the blade flat on the stone dealing with away from you. Now elevate the back fringe of the blade until it forms an approximate 22 diploma angle with the leading edge nonetheless touching the stone.

With so many places to search out pocket knives what makes us so unique? Solely here do you get free transport on all pocket knife orders over $200. That's right. Anything on our site comes free of all transport costs, if the Order Whole exceeds $200. The value that's listed is the value that you pay. Pocket Knives For Sale Purchase Pocket Knives Welcome to PocketKnifeCentral.com, where you will find 100% pocket knives for all wants and, even more essential, for all budgets. Now we have plenty of pocket knives on the market, so be at liberty to take your time and look around.

Camping. There are tons of various issues you could use a pocket knife for while camping corresponding to creating tinder, gutting a fish, cutting rope, and slicing up your shirt to make a sling whenever you slip off the sting of a hill while hiking and break your arm. You already know that’s going to occur to any individual www.Thebestpocketknifereviews.com! By the late sixteenth Century, pocket knives began to regain popularity. They were especially popular within the American colonies. From farmers to attorneys, males from all walks of life started to hold them. The final word moveable tool, the pocket knife was a helpful support in varied duties, together with eating on the go.

The basic types of pocket knives are the single blade , the multi-blade , or the multi-instrument knife. If you are just searching for a small everyday knife to carry in your pocket for these occasions when you find yourself asking “does anybody have a knife?” – then either a small single blade or multi-blade knife will do the trick. Both camping knife a locking blade or a non-locking blade will be ample for small everyday makes use of, but when you can be using your knife for a heavier workload, you might need to consider a slightly larger locking blade pocket knife for safety.

Kershaw – Blade quality on these are superb. Simply the sharpest knife I have ever owned and easy to maintain the blade sharp. My one massive complaint is that they're a bit pricey and the two that I've owned each relied on assisted opening. One of the assisted opening on one of the knives failed utterly at some point. This was in all probability 9 to 10 years ago so there's a good probability that they've improved on their quality. In order for you an excellent pocket knife, but do not know what type you would favor, undergo the checklist on How To Choose a Pocket Knife