RSS icon
Twitter icon
Facebook icon
Vimeo icon
YouTube icon

Entanglement spectroscopy on a quantum computer

September 15, 2017 - 4:00pm
Sonika Johri
Intel Labs, Intel Corporation, Hillsboro, OR

One important application of quantum computers is efficiently simulating many-body quantum systems. The quantum computing equivalent of the vast array of diagnostic tools that extract information from classical numerical simulation are still being developed. Along these lines, we present a quantum algorithm to compute the entanglement spectrum of arbitrary quantum states. The interesting universal part of the entanglement spectrum is typically contained in the largest eigenvalues of the density matrix which can be obtained from the lower Renyi entropies through the Newton-Girard method. Obtaining the $p$ largest eigenvalues ($\lambda_1>\lambda_2… >\lambda_p$) requires a parallel circuit depth of $O(p(\lambda_1/\lambda_p)^p)$ and $O(p\log(N))$ qubits where up to $p$ copies of the quantum state defined on a Hilbert space of size $N$ are needed as the input. We validate this procedure for the entanglement spectrum of the topologically-ordered Laughlin wave function corresponding to the quantum Hall state at filling factor 1/3. Our scaling analysis exposes the tradeoffs between time and number of qubits for obtaining the entanglement spectrum in the thermodynamic limit using finite-size digital quantum computers. Importantly, we will also present results from implementing this algorithm on a digital quantum computing platform of trapped ion qubits to extract the second Renyi entropy of the ground state of a 2-site Fermi-Hubbard model.

* There should be snacks and drinks at 4:00 and the talk will start at 4:15

PSC 2136
College Park, MD 20742

Subscribe to A Quantum Bit 

Quantum physics began with revolutionary discoveries in the early twentieth century and continues to be central in today’s physics research. Learn about quantum physics, bit by bit. From definitions to the latest research, this is your portal. Subscribe to receive regular emails from the quantum world. Previous Issues...

Sign Up Now

Sign up to receive A Quantum Bit in your email!

 Have an idea for A Quantum Bit? Submit your suggestions to