physics

Consider the Hamiltonian H=Z⊗3 acting on 3 qubits.
What is the ground energy of the system? (I.e. the lowest eigenvalue of H?)
What is the dimension of the ground energy subspace? (I.e. multiplicity of that eigenvalue?)
Which of the following correctly describes the ground energy states of this system?



|000⟩ is the only ground energy state.
|111⟩ is the only ground energy state.
|000⟩,|111⟩ and their linear combinations
|001⟩,|010⟩,|100⟩ and their linear combinations
|000⟩,|001⟩,|010⟩,|100⟩ and their linear combinations
|000⟩,|011⟩,|110⟩,|101⟩ and their linear combinations
|001⟩,|010⟩,|100⟩,|111⟩ and their linear combinations

asked by s
  1. 000> is the only ground energy state, I think... don't know others

    posted by Anonymous
  2. help please

    posted by Anonymous
  3. last option

    posted by Anon
  4. sure last option?justify

    posted by stuart
  5. last option worked for me

    posted by heytherre

Respond to this Question

First Name

Your Answer

Similar Questions

  1. physics

    Consider the Hamiltonian H=Z⊗3 acting on 3 qubits. What is the ground energy of the system? (I.e. the lowest eigenvalue of H?) What is the dimension of the ground energy subspace? (I.e. multiplicity of that eigenvalue?)
  2. Math--Matrix

    Suppose A = ( 6 9 -1 -4). Then the largest eigenvalue of A is? The smallest eigenvalue of A is?
  3. precalc

    Given a square matrix M, we say that a nonzero vector v is an eigenvector of M if Mv=kv for some real number k. The real number k is called the eigenvalue of v with respect to M. 1. Let v be an eigenvector of the matrix M with
  4. Linear Algebra

    Let A be a 4¡Á4 matrix with real entries that has all 1's on the main diagonal (i.e. a11 = a22 = a33 = a44 = 1). If A is singular and ¦Ë1 = 3 + 2i is an eigenvalue of A, then what, if anything, is it possible to conclude about
  5. physics

    Two masses are connected by a light string passing over a frictionless pulley as shown on Figure. The M2= 6.1 kg mass is released from rest at height h = 2.8 m . We are given that M1=2.7 kg and I, the moment of inertia of the
  6. Quantum mechanics, eigenvalues, eigenfunctions

    What exactly is an eigenvalue? "To be an eigenfunction, the operator has to reproduce the function with some multiplicative constant." Is the eigenvalue the multiplicative constant -or- is it the m constant and the function? Many
  7. Chem

    The brilliant color of fireworks is produced by shells containing lithium carbonate (Li2CO3) that are launched into the night sky and explode. The explosions produce enough energy to vaporize the Li2CO3 and produce excited state
  8. Physics

    at the moment when a shot putter releases a 4kg shot the shot is 1.25 m above the ground and travelling at 7 m/s. it reaches a maxium height of 3.7 m above the ground and then falls to the ground. air resistance is negligible and
  9. physics

    A boulder is raised above the ground so that the gravitational potential energy relative to the ground is 360 J. Then it is dropped. What is its kinetic energy just before it hits the ground?
  10. physics

    An Olympic high jumper starts running. As she approaches the bar, she pushes off the ground and lifts her body off the ground and flies over the bar. She then falls down into a large padding on the ground. Describe the energy

More Similar Questions