*ITAMP Lunch Seminar*
*Speaker: *Daniel Greif (Harvard University)
*Date:* Thursday, April 26th
*Time:* 12:00-1:00 pm
Includes Pizza.
*Title: *New Frontiers in Fermionic Quantum Gas Microscopy
*Abstract: Quantum gas microscopy of ultracold fermionic atoms in optical
lattices allows studying strongly correlated low-temperature phases in the
Hubbard model. Through an entropy redistribution technique we have
demonstrated long-range antiferromagnetic order extending over our entire
sample, a disk spanning ten sites across filled with a two-component spin
mixture of ultracold fermionic Li-6 atoms in a square lattice. Our
microscope provides access to quantities such as the site-resolved spin
correlation function, spin structure factor, and full counting statistics
of the staggered magnetization. By hole doping the system away from
half-filling we explore regimes of the Hubbard model phase diagram where
precise numerical studies become challenging. We study the interplay
between hole motion and the antiferromagnetic order: when a hole tunnels in
an antiferromagnet, it can distort the surrounding order and form a string.
This could be an essential aspect of high-temperature superconductivity in
cuprates, and the readout of our microscope allows us to directly address
this question. Besides discussing our current progress in this direction, I
will also explain a new cooling technique based on quantum engineering of
ultra-low entropy band-insulators to obtain even lower temperature states.*
*Location: *B-106 @ Center for Astrophysics (60 Garden Street)
*Directions: *After entering the lobby of the CfA, turn right to enter the
hallway of the B building. In the hallway, turn right again, B-106 will be
at the end of the hallway on the left side.
Group,
A quick reminder that Felix's last day with the group is next Monday, April
30th and I will be on vacation and unavailable May 1-16.
*Finally, we are having breakfast together this Friday, April 17th 10:30 AM
in the Division Room so be sure to swing by and celebrate Felix!*
Cheers,
Siria
--
*Siria Serrano*
*Faculty Assistant*
*Aspuru-Guzik Group*
*Harvard University **Department of Chemistry and Chemical Biology*
*12 Oxford St. M 136*
*Cambridge, MA 02138*
*P:** (617) 496-1716 <%28617%29%20496-1716>** F: **617-496-9411
<617-496-9411>*
Dear quanta,
On Wed, there are a few talks at this meeting which should be of interest
to many of us.
http://physicsrisingstars.mit.edu/agenda
Both are in 4-349.
9am:
"Tests of Quantum Measurement with Superconducting Qubits"
Sydney Schreppler, UC Berkeley
11:30am:
"Quantum Steampunk: Quantum Information and Thermodynamics"
Nicole Yunger Halpern, California Institute of Technology
-aram
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Mark Wilde will give a short talk at 3:30 in 6-310.
Title: Union bound for quantum information processing
Abstract:
Gao’s quantum union bound is a generalization of the union bound from
probability theory and finds a range of applications in quantum
communication theory, quantum algorithms, and quantum complexity theory
[Phys. Rev. A, 92(5):052331, 2015]. It is relevant when performing a
sequence of binary-outcome quantum measurements on a quantum state, giving
the same bound that the classical union bound would, except with a scaling
factor of four. In this paper, we improve upon Gao’s quantum union bound,
by proving a quantum union bound that involves a tunable parameter that can
be optimized. This tunable parameter plays a similar role to a parameter
involved in the Hayashi-Nagaoka inequality [IEEE Trans. Inf. Theory,
49(7):1753 (2003)], used often in quantum information theory when analyzing
the error probability of a square-root measurement. An advantage of the
proof delivered here is that it is elementary, relying only on basic
properties of projectors, the Pythagorean theorem, and the Cauchy– Schwarz
inequality. As a non-trivial application of our quantum union bound, we
prove that a sequential decoding strategy for classical communication over
a quantum channel achieves a lower bound on the channel’s second-order
coding rate. This demonstrates the advantage of our quantum union bound in
the non-asymptotic regime, in which a communication channel is called a
finite number of times.
Joint work with Samad Khabbazi Oskouei (Islamic Azad University) and
Stefano Mancini (University of Camerino)
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Dear quanta,
We will meet at 11am in room 6-310.
Urmila Mahadev will talk at 1:30pm in room 6c-442.
We will also have various visitors around for the day; besides Urmila,
there is Kristan Temme, Ashley Montanaro and Mark Wilde. You are
encouraged to track them down if you want to meet with them. Mark will
only be around in the afternoon.
-aram
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Hi all,
Because of the conflict with the ChemRxiv talk, we won't have group meeting
tomorrow. We'll pick back up next week with a talk from Pascal.
All the best,
Ian
Group members,
If you are interested in having dinner with Marshall Brennan who runs the
ChemrXiV, just reply to this email ASAP. The first 3 that do so will get to
meet him for dinner tomorrow. He and you can follow up.
I will be out of town so I will miss it, but I hope you all have fun. He is
the leader of open access in chemistry in the world, IMHO. Copying him!
Alan
Alán Aspuru-Guzik | Professor of Chemistry and Chemical Biology
Harvard University | 12 Oxford Street, Room M138 | Cambridge, MA 02138
(617)-384-8188 | http://aspuru.chem.harvard.edu | http://about.me/aspuru
Dear all,
We will be taking our group photos tomorrow, Wednesday 18th, at 1:15pm.
Let's meet outside the group's administrative offices. Forecast for
tomorrow seems okay, hopefully we'll get some nice shots. Please try to be
on time so we can be done by 1:20 and go back to our busy schedules.
Thanks,
Douglas
Hi all,
My apologies if you receive this email twice. I will be defending my
thesis in LISE 303 (at Harvard) on April 25th at 10 am. Refreshments
will be provided. The talk will be roughly half material Ive talked
about at group meetings/seminars and half some new results concerning
the construction of unitary 2 designs.
*Abstract *
The existence of quantum locally generated codes is a long standing open
problem in quantum information theory. In this thesis, we consider a
bound concerning this conjecture as well as a few constructions with
codes that are 'barely non-local'. First we formulate and analyze a
bound concerning the possible topologies of locally generated codes. It
is well known that quantum codes which can be defined on lattices
(geometrically local codes) must have sub-linear distance, and hence
must be bad quantum codes. We establish a complementary result to this
one, and show quantum codes which are strongly not embeddable into
finite dimensional lattices must also have poor distance. Along the way
we derive some results concerning "pseudorandom" classical codes.
Given that quantum codes seem to be difficult to construct, it seems
useful to examine "bad" quantum codes for applications in information
and communication. Indeed, most of the work in quantum error correction
by researchers today is in this direction. We construct a nearly local
quantum erasure code which can achieve the capacity of the quantum
erasure channel. This code has very poor (adversarial) distance, but
still manages to correct random erasure errors with high probability.
The codes use random Erdos-Renyi graphs to construct quantum states
which are nearly local, but also highly entangled across fixed cuts with
high probability. We derive some new results concerning classical codes
with log-sparse parity check matrices which may be of independent interest.
Inspired by this construction, we are able to construct new approximate
unitary 2-designs or scramblers. The study of scrambling is the study
of the mixing properties of different distributions of random unitaries.
There is an inherent duality between the study of scrambling and the
study of error correction: A good quantum code will make a good
scrambler and vice versa. We study the scrambling properties of our
random Erdos-Renyi graph state encoding circuits. We are able to show
that these circuits, when supplemented by some local Expander Graph
quantum circuits, form "weak" approximate unitary 2-designs with O(n
log(n)) many gates and depth O(log(n)). This construction, strictly
speaking, does not achieve more efficient parameters than existing
approximate 2-designs (it matches them), but might have implementation
advantages over other designs and points to a conjecture which could
yield approximate unitary designs with time independent qubit-to-qubit
coupling. This would be a very interesting construction in the context
of experimental randomized benchmarking.
Best,
Kevin
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Urmila Mahadev from Berkeley will talk about her recent breakthrough.
title: Classical Verification of Quantum Computations.
abstract:
We present the first protocol allowing a classical computer to
interactively verify the result of an efficient quantum computation. We
achieve this by constructing a measurement protocol, which enables a
classical verifier to ensure that the quantum prover holds an n qubit
quantum state, and correctly reports the results of measuring it in a basis
of the verifier's choice. This is enforced based on the assumption that the
learning with errors problem is computationally intractable for efficient
quantum machines.
The talk will be an informal blackboard talk that will focus on the
technical details and will not dwell on the motivation and broader context.
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