Posted by **s** on Friday, April 19, 2013 at 5:13am.

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

## Answer This Question

## Related Questions

- physics - Consider the Hamiltonian H=Z⊗3 acting on 3 qubits. What is the ...
- Math--Matrix - Suppose A = ( 6 9 -1 -4). Then the largest eigenvalue of A is? ...
- precalc - Given a square matrix M, we say that a nonzero vector v is an ...
- physics - Two masses are connected by a light string passing over a frictionless...
- Linear Algebra - Let A be a 4¡Á4 matrix with real entries that has all 1's on ...
- Quantum mechanics, eigenvalues, eigenfunctions - What exactly is an eigenvalue...
- physics - A boulder is raised above the ground so that the gravitational ...
- science(physics) - A 2kg stone is droped from the top of a 20m building a)what ...
- Physics - at the moment when a shot putter releases a 4kg shot the shot is 1.25 ...
- physics - Consider a system of N identical particles. Each particle has two ...

More Related Questions