physics
posted by s .
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
Respond to this Question
Similar Questions

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? 
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 … 
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? 
physics
Consider the Hamiltonian H=Z⊗3 acting on 3 qubits. What is the ground energy of the system? 
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 pulley … 
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 the … 
science(physics)
A 2kg stone is droped from the top of a 20m building a)what potential energy does it posses b)At what height does its potential energy become equal to its kinetic energy? 
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 eigenvalue … 
MathMatrix
Suppose A = ( 6 9 1 4). Then the largest eigenvalue of A is? 
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 lithium …