An efficient implementation of the quantum gradient of the logarithm-determinant is demonstrated. The algorithm is shown to compare with existing methods on the quantum computer and scale more favourably, exposing that the key component for this algorithm is the wavefunction preparation step, as expected. Outlook for implementation and future extensions will be discussed, as will potential...
It is possible to formulate quantum states from the perspective of quantum information. Decomposing the wavefunction into a tensor network is dependent on the amount of entanglement in the wavefunction, implying for more strongly correlated quantum states that the problem becomes more and more expensive. All of the tensor operations can be formulated in terms of matrix operations, which must...
The quest towards probing the Higgs field in the High luminosity Large Hadron Collider (LHC) comes with many great challenges. In particular, the need to speed up the particle-detector simulations poses a roadblock, as projections show millions of CPU-years required to create simulated datasets. To tackle the problem of simulating particle-calorimeter interactions in the ATLAS detector at LHC...
We present a method to quantify entanglement in mixed states of highly symmetric spin systems. Symmetry constrains interactions between spins and predicts the degeneracies of the states. While symmetry alone produces entangled eigenstates, the mixed state (density) which contains all of the eigenstates (weighted by their Boltzmann factors) is not necessarily as entangled as the eigenstates...
awaiting abstract submission
