Recent content by MrMuscle

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    I Integral in a variational principle problem

    Hi, I am trying to solve the problem in Griffith's book about variational principle. However, I am having trouble to solve the integral by myself that I have indicated in redbox in Griffith's book. You can see my effort in hand-written pages. I brought it to the final step I believe, but can't...
  2. M

    A Tensor and vector product for Quantum

    Kind of yes. I know how to calculate it but don't understand the concept behind.
  3. M

    A Tensor and vector product for Quantum

    Thanks for the answer. How can you take out P0 and P1?
  4. M

    A Tensor and vector product for Quantum

    Hello, I hope the picture on the attachment helps! It is from a book named "Quantum Computer Explained" by David McMahon. Chapter 12, Quantum Noise and Error Correction
  5. M

    A Tensor and vector product for Quantum

    Hello, I am calculating the krauss operators to find the new density matrix after the interaction between environment and the qubit. My question is: Is there an operational order between matrix multiplication and tensor product? Because apparently author is first applying I on |0> and X on |0>...
  6. M

    I Finding the Matrix O for a 4x4 Operator Acting on a 4x1 Vector

    I have a 4x4 operator O. I apply it on a 4x1 vector A. Let's say A =[0.7; 0.4 ; 0.4; 0.3]. When O acts on A, I get B. Let's say B=[0.74 ; 0.56; 0.08 ; 0.36]. The problem is I don't know how to find O. Can you please help me. My basis are [1 ; 0 ; 0; 0], [0;1 ; 0 ;0] ... and so on. Thanks...
  7. M

    Non trivial solution to Schrödinger equation for 1-D infinite well

    Thanks for the answer! what would you suggest for symbolic calculations? Also, do you have any suggestions about how to modify the code?
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    Non trivial solution to Schrödinger equation for 1-D infinite well

    Hello, I am trying to find the solution of Schrödinger equation on matlab. However, when I apply boundary conditions, MATLAB only gives me the solution with both coefficients 0. I want to find the solution : Asin(n*pi*x/L) You can see my code below. Could you please tell me where is my mistake...
  9. M

    I Vector Notation of Quantum States for 2 Qubit System

    I am confused about the vector notation of quantum states when I have a 2 qubit system. For 1 qubit, I just write l1> = (0 ;1 ) for representing 1, and l0> = (1;0) for representing 0. Dirac notation is straightforward However when it comes to representing two qubits in linear algebra I...
  10. M

    How a square or sawtooth wave can have a certain frequency?

    Hello! I know that a square or saw tooth wave consists of infinite amount of sinousoids each having different frequency and amplitude. But when I look at their plot they seem to have a well defined frequency or period. Which term in the Fourier series determines their frequency? Does a saw...
  11. M

    High frequency in MEMS devices

    Hello, I am designing a resonant mems accelerometer. It has a resonating beam. We are actuating it by AC voltage + DC voltage. We are going to actuate it at beam's resonance frequency. When I search for papers related to previous studies, I encounter resonance frequencies ranging from 20 kHz to...
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