Hi Jochen,

There are currently two main approaches to quantum computing.   The first is 
called adiabatic quantum computing (AQC).   Complexity enthusiasts that have 
followed the spin glass literature will be familiar with Ising spin systems.    
AQC exploits the tendency of physical systems to go to low energy.   It turns 
out that many kinds of operations can be implemented even with two body 
interactions.   For example logic programs map to Ising systems.  In fact a 
former colleague of mine, Scott Pakin has implemented a Prolog interpreter for 
a quantum annealer.   The reason to use a quantum annealer over a classical 
thermal annealer is essentially speed.    An anneal can be repeated every tens 
of microseconds.   For sampling applications, like finding all the ways to 
solve an NP-hard constrained optimization problem with discrete variables, this 
is potentially a big win.   Classical mixed-integer programming approaches can 
be fast to find local/global optima, but may give a fragile picture of the 
fitness landscape.  It is possible to use annealers to mimic materials, and 
study phenomenon like quantum phase transitions.   Quantum tunneling and 
entanglement have been demonstrated using commercially-available quantum 
annealers.

The other approach to quantum computing is the gate model.   Here the idea is 
to compose together unitary operators.   This model is less surprising from a 
from a (functional) programming perspective:  There are gates that feed into 
other gates kind of like classical circuits.  This is a what IBM (and others) 
are trying to do, and the difficulty of the task is reflected by the fact they 
only have a handful of qubits.   Estimates vary, but to implement the error 
correction that would give reliability on-par with classical digital computers 
could take 1000-fold or even more redundancy.   That’s to get _one_ good qubit 
at > 99.9% reliability.

AQC doesn’t require the long coherence times (especially resistance to 
dephasing) that the gate model requires.    Recently there’s been a middle 
ground declared called NISQ which is trying to find algorithms (like annealing) 
that work on imperfect gate-model qubits.

There are two popular foundational technologies for qubits, superconductors and 
ion traps.   The tradeoff is essentially between latency and stability.  Ion 
traps can maintain coherence a long time, but are relatively expensive to 
configure.   The system you mention from IBM is a the former.  Superconductors 
typically operate near absolute zero (tens of mK) with many layers of 
protection from electromagnetic radiation and the Ion traps use elaborate laser 
control systems.

Quantum computing is not BS, but it is very hard to engineer these systems and 
there is a long road ahead to bring this technology to practitioners. The 
CMOS-based computing systems we all use are a miraculous accomplishments of 
humans, and are easy to take for granted.   One of the national labs here in 
New Mexico actually owns an AQC system.

Marcus

From: Friam <[email protected]> on behalf of Jochen Fromm 
<[email protected]>
Reply-To: The Friday Morning Applied Complexity Coffee Group <[email protected]>
Date: Saturday, January 26, 2019 at 3:23 PM
To: The Friday Morning Applied Complexity Coffee Group <[email protected]>
Subject: [FRIAM] Quantum Computing

What do you think of Quantum Computing, will it be successful? IBM just built 
the IBM Q System One...
https://youtu.be/LAA0-vjTaNY

...while others make a strong case against it..
https://spectrum.ieee.org/computing/hardware/the-case-against-quantum-computing

..or even call it bullshit
https://scottlocklin.wordpress.com/2019/01/15/quantum-computing-as-a-field-is-obvious-bullshit/

What's your opinion?

-Jochen

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