Recent content by jimmycricket

Do you mean the 9/N frequency not 7/N. Am I right in saying the qubits in your example reversed would read 01001=9?

When using the Quantum Fourier transform to find the period of the function f(x)\equiv a^x\mod N why is it that the input register is 2n qubits in size and the output register is n qubits?

I'm constructing a quantum circuit that implements a gray code that connects the binary strings |0001> and |1110> using CNOT gates. Since the two strings are negations of each other, two equivalent circuits can be designed where the control qubit conditions are negated. My question is what is...

Thats cleared that up, Thanks

I'm currently working through Nielsen & Chuang's section on the circuit design for implementing the QFT. I'm confused as to why swap gates are used in the model to swap the order of qubits. Heres what I'm looking at http://www.johnboccio.com/research/quantum/notes/QC10th.pdf page 247 figure...

I am trying to derive a quantum circuit that will implement an arbitrary unitary operation using single qubit gates and C-NOT gates only. I have already shown how to construct a controlled U operation where U is a single qubit unitary operation. Furthermore I have proven the universality of...

I'm not sure if anyone has answered the question yet as I don't have the background to even begin to understand some of the concepts presented here. I see a lot of people talking about what you would observe while inside the black hole. What I was trying to get at is not what one would observe...

Haha ok so assuming I can survive entering the black hole, is it possible that time would elapse so slowly there relative to the universe outside the black hole (apart from other similarly massive black holes) that the universe would essentially "run its course" during the time you spend in the...

Would the universe end if you entered a black hole? What I mean by this is that due to time dilation would time elapse so fast for the universe outside the black hole relative to you inside it that all the stars would burn out and all that wouild be left would be other black holes?

I must admit I've had a difficult time getting to grips with these global phase factors. I am currently writing a project on the basics of quantum information and quantum computing and they crop up everywhere. I understand that global phase factors are essentially irrelevant since they do not...

Is this what is referred to as a global phase factor? So is the direction of a vector component the defining feature for a pure state? This makes sense because two rays with the same direction but different magnitude would give the same expectation value with respect to the same observable...

Major slip of the brain there, I should have read my post properly. What I meant to ask is: Are all quantum states represented by unit vectors in some complex vector space?

Are all quantum states represented by normal vectors?

Can anyone explain to me why the following operators are rotation operators: \begin{align*}R_x(\theta) &= e^{-i\theta X/2}=\cos(\frac{\theta}{2})I-i\sin(\frac{\theta}{2})X= \left(\!\begin{array}{cc}\cos(\frac{\theta}{2}) & -i\sin(\frac{\theta}{2}) \\ -i\sin(\frac{\theta}{2})&...

I'm using Nielsen and Chuang and would like to get an expression similar to theirs: \left(\!\begin{array}{cc}e^{i(\alpha-\beta/2-\delta/2)}\cos(\theta) & -e^{i(\alpha-\beta/2+\delta/2)}\sin(\theta)\\e^{i(\alpha+\beta/2-\delta/2)}\sin(\theta) &...