make a quantum scheme that performs the addition of a pair of two-qubit numbers x and y modulo 4: |x, y> → |x, x + y mod 4>

Q: In quantum mechanics the study of Schödinger equation for the hydrogen atoms leads to a con…

A: Laguerre's Equation is given by, xd2Ydx2+(1-x)dYdx+nY=0 Integral representation or Rodrigues formula…

Q: 1) Write the differential equation of the radial part. 2) Compute the energy levels and the…

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Q: Consider a rectangular barrier given by the potential for x 0 V(x) = 0 for xa (a) Show that the…

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Q: Consider the quantum state 0.14|0> + 0.99|1>. On measuring this state in the computational basis,…

A: Concept used: Probability of a state is found by overlapping the given state with wavefunction.

Q: JC-33) Particle in a Well A particle is trapped in an infinite one-dimensional well of width L. If…

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Q: A quantum particle (mass m) is confined in a 1-dimensional box represented by the interval 0 ≤ x≤L.…

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Q: For a quantum particle of mass m in the ground state of a square well with length L and infinitely…

A: Given:        For a quantum particle of mass m in the ground state of a square well with length L…

Q: An electron with total energy E = 5.0 eV approaches a rectangular potential energy barrier with U0 =…

A: Given, E= 5 eV U0= 6 eV Probability T=1/1000000

Q: 9.- Obtain the matrices representing the angular momentum operators J“, Jz» J+» J-, Jx y Jy for j =…

A: The value total angular momentum quantum number j given is j=2 Thus, the value of the total magnetic…

Q: Quantum mechanical tunnelling enables chemical reactions to proceed that would be energetically…

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Q: probability does he get the 1) outcome? Po Assuming that Bob gets the 1) outcome, what is the state…

A: Bra-Ket are Dirac notations to write the wavefunction. Suppose in any system, are states. Then the…

Q: Suppose that the probability of observing |0⟩ in the state |ϕ1⟩ is 1/4 and the probability of…

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Q: Consider a normalized state of an harmonic oscillator which is given in terms of three orthonormal…

A: The constant A is determined by normalization condition:  Therefore,…

Q: Consider a particle with orbital angular momentum and in the state described by a wavefunction…

A: Solution attached in the photo

Q: A proton and a deuteron (which has the same charge as the proton but 2.0 times the mass) are…

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Q: A quantum particle (mass m) is confined in a 1-dimensional box represented by the interval 0 ≤ x L.…

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Q: A particle with mass m is in the state „2 mx +iat 2h ¥(x, t) = Ae where A and a are positive real…

A: The wave function is given as  ψ(x,t)=Ae-amx22h+iat where A is the normalization constant.  First…

Q: At time t = 0, a free particle is in a state described by the normalised wave function V(x, 0) where…

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Q: Hello,whats the mean of this sign?

A: It's not a sign. It's a word "Let".

Q: A single particle system in a two-dimensional potential field (Lx = Ly = L). (1) Find the quantum…

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Q: The wave function for a quantum particle is a (x) π(x² + a²) for a > 0 and -" <x<+. Determine the…

A: In quantum mechanics wave function of a particle is a quantity that mathematically describes the…

Q: The energy eigenvalues of a particle in a 3-D box of dimensions (a, b, c) is given by ny E(nx, ny,…

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Q: A particle is trapped in an infinite one-dimensional well of width L. If the particle is in its…

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Q: Consider the following possible states of a qubit: |v1) = 2 |0) + 2i |1) |/2) = i|0) + |1) |/3) = −i…

A: Given: The states of the qubit are:…

Q: Calculate the average position of the particle in a cube with length L for the ground and first…

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Q: nd the magnitude and direction (relative to the given coordinate system) of the net electric

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Q: a) Find the normalization constant N  b) If in the systemL ˆz what is the probability that the…

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Q: In quantum mechanics, the probability of finding a particle z in domain [a, b] can be calculated…

A: according to the question, the probability of density ρ(x) proportional to 1x for x∈1,e2 so, ρ(x)…

Q: What type of quantum mechanical problems can be solved using the time-independent Schrödinger…

A: Given: Time-independent Schrodinger equation, -ℏ22m∂2ψ(x)∂x2+U(x)ψ(x)=Eψ(x) Time independent…

Q: Consider a system of two particles at temperature T → 0. Each of them can occupy three different…

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Q: An electron moves with a speed v 1.25 x 10-4c inside a one-dimensional box (V = 0) of length 48.5…

A: The speed of the electron is given as, v = 1.25×10-4c Where, c = 3×108 m/s Therefore, speed of…

Q: P²(x) = (3x²-1), ²2²0) = -(1-x²) ¹² (32²-1)]=-3x√1-x²₁ 1/2 d dx P²00)=(1-²) () [(₁2²-1)] =3(1-2). dx

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Q: For a quantum particle described by a wave function (x), the expectation value of a physical…

A: A particle is in an infinitely deep one-dimensional box of length L. The normalized wave function…

Q: In 1927, Heisenberg proposed his famous Uncertainty Principle that extended the conceptual grounds…

A: Heisenberg’s uncertainty principle states that for particles exhibiting both particle and wave…

Q: Which of the following statements is NOT directly from one of the five postulates in quantum…

A: According to postulates of quantum mechanics.

Q: Att= 0, an electron is in the eigen state with n = 1 of a one-dimensional shape well So lr| > a/2…

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Q: in quantum mechanics ; calculate the eigenvalue of these operators L2 , Lz when l equal to 6 ?

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Q: Suppose that a qubit has a state of the form |ϕ⟩ = α |0⟩ + β |1⟩. If the probability of measuring…

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Q: A particle with mass 6.65×1027 kg is confined to an infinite square well of width L. The energy of…

A: The mass of the particle is 6.65×10-27 kg. The width of the infinite square well is L. The energy of…

Computational Systems

The computation systems can be defined as the systems that are capable of solving a problem that includes calculations either mathematical or logical, and are able to produce the result as an output. For example, a simple calculator that is given a set of numbers and operators as input and produces the result as an output can be defined as a computational system. The above example is a simple illustration only, the computational systems range from simple devices to complex devices such as the systems that control the SpaceX companies, Starlink satellites which are being quite recently seen in the skies at many places globally.