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Google’s	-	Quantum	Supremacy	Claim	
and	the	IBM	Rebuttal	of	it!	
Are	we	there	yet?	
Vesselin G. Gueorguiev
Institute for Advanced Physical Studies
& Ronin Institute
Vesselin	G.	Gueorguiev	 Hacker	Dojo,	Santa	Clara	-	Nov.	8th,	2019	 1	
Sycamore	
Summit	at	Oak	Ridge
Outline	of	the	Talk	
Ø  Is	Quantum	Supremacy	a	suitable	term?	
Ø  What	did	the	Google	team	do?	
Ø  What	is	the	IBM	rebuttal?	
Ø  Q&A	– Discussion.	
Vesselin	G.	Gueorguiev	 Hacker	Dojo,	Santa	Clara	-	Nov.	8th,	2019	 2
Is	Quantum	Supremacy	a	suitable	term?	
•  “In	quantum	computing,	quantum	supremacy	is	the	potential	
ability	of	devices	to	solve	problems	that	classical	computers	
practically	cannot.[1]	”	
•  “…[QC]	dates	back	to	Yuri	Manin's	(1980)[3]	and	Richard	
Feynman's	(1981)	proposals	of	quantum	computing.[4]	”	
	
Vesselin	G.	Gueorguiev	 Hacker	Dojo,	Santa	Clara	-	Nov.	8th,	2019	 3	
https://en.wikipedia.org/wiki/Quantum_supremacy
What	did	the	Google	team	do?	
Vesselin	G.	Gueorguiev	 Hacker	Dojo,	Santa	Clara	-	Nov.	8th,	2019	 4	
Google	Chief	Sundar	Pichai		
Chief	Scientists:	
John	Martinis	-	Quantum	Hardware		
Sergio	Boixo	-	Quantum	Computing	Theory
What	did	the	Google	team	do?	
Ø  Completed	a	problem	within	200s	as	compared	to	
10,000y	on	a	supercomputer;	
Ø  Programmable	Superconducting	Processor	54-	qubits	
processor	– Sycamore;	
Ø  Quality	control	over	the	qubits;	
²  “…	improved	two-qubit	gates	with	enhanced	parallelism	that	reliably…”	
²  “…	new	type	of	control	knob	that	is	able	to	turn	off	interactions	between	
neighboring	qubits…”	
Ø  Sensitive	computational	benchmark!	
Vesselin	G.	Gueorguiev	 Hacker	Dojo,	Santa	Clara	-	Nov.	8th,	2019	 5
Sycamore	Qubits	Geometry!	
Vesselin	G.	Gueorguiev	 Hacker	Dojo,	Santa	Clara	-	Nov.	8th,	2019	 6	
Nature	|	Vol574	|	24OCTOBER2019
Google’s	process	for	demonstrating	
quantum	supremacy	
Vesselin	G.	Gueorguiev	 Hacker	Dojo,	Santa	Clara	-	Nov.	8th,	2019	 7
Vesselin	G.	Gueorguiev	 Hacker	Dojo,	Santa	Clara	-	Nov.	8th,	2019	 8	
Estimate	of	the	equivalent	
classical	computation	time	
assuming	1M	CPU	cores	for	
quantum	supremacy	circuits	
as	a	function	of	the	number	
of	qubits	and	number	of	
cycles	for	the	Schrödinger-
Feynman	algorithm.	The	
star	shows	the	estimated	
computation	time	for	the	
largest	experimental	
circuits.	
the	Phase-Space	
Diagram
Vesselin	G.	Gueorguiev	 Hacker	Dojo,	Santa	Clara	-	Nov.	8th,	2019	 9	
Nature	|	Vol574	|	24OCTOBER2019	
Linear	cross-entropy	
benchmarking	fidelity	function
Vesselin	G.	Gueorguiev	 Hacker	Dojo,	Santa	Clara	-	Nov.	8th,	2019	 10	
Nature	|	Vol574	|	24OCTOBER2019	
Control	operations	for	the	
quantum	supremacy	circuits
Vesselin	G.	Gueorguiev	 Hacker	Dojo,	Santa	Clara	-	Nov.	8th,	2019	 11	
Nature	|	Vol574	|	24OCTOBER2019
Summary	-	what	did	Google	do.	
Ø  Completed	a	problem	within	200s	as	compared	to	
expected	10,000y	on	a	supercomputer;	
Ø  The	Sycamore	quantum	computer	is	fully	programmable	
and	can	run	general-purpose	quantum	algorithms;	
Ø  Sensitive	computational	benchmark!	
Ø  Quality	control	over	the	qubits.	
Ø  Certifiable	Quantum		Random	Numbers	Generator!	
Ø  Forward	compatible	for	the	implementation	of	quantum	
error-correction!	
Vesselin	G.	Gueorguiev	 Hacker	Dojo,	Santa	Clara	-	Nov.	8th,	2019	 12
What	is	the	IBM	rebuttal?	
Vesselin	G.	Gueorguiev	 Hacker	Dojo,	Santa	Clara	-	Nov.	8th,	2019	 13	
https://arxiv.org/abs/1910.09534
What	is	the	IBM	rebuttal?	
Vesselin	G.	Gueorguiev	 Hacker	Dojo,	Santa	Clara	-	Nov.	8th,	2019	 14	
https://arxiv.org/abs/1910.09534	
August?
What	is	the	IBM	rebuttal?	
Ø  Secondary	storage	can	extend	the	range	of	quantum	circuits	
that	can	be	practically	simulated	with	classical	algorithms;	
Ø  It	is	possible	to	simulate	the	Sycamore	circuits	with	53	and	
54	qubits,	with	the	entanglement	pattern	ABCDCDAB	
quality	control	over	the	qubits.	
Ø  Summit	supercomputer	at	Oak	Ridge		could	simulate	it	with	
high	fidelity	to	arbitrary	depth	in	a	matter	of	days!	
Ø  Q-circuits	can	be	simulated	with	high	fidelity	to	arbitrary	
depth	in	a	matter	of	days;	
Vesselin	G.	Gueorguiev	 Hacker	Dojo,	Santa	Clara	-	Nov.	8th,	2019	 15
Partitioning	Numbers	
Vesselin	G.	Gueorguiev	 Hacker	Dojo,	Santa	Clara	-	Nov.	8th,	2019	 16
Vesselin	G.	Gueorguiev	 Hacker	Dojo,	Santa	Clara	-	Nov.	8th,	2019	 17	
A	 B	 C	 D	 C	 D	 A	 B
Estimated	running	times		
Vesselin	G.	Gueorguiev	 Hacker	Dojo,	Santa	Clara	-	Nov.	8th,	2019	 18
Estimated	running	times		
Vesselin	G.	Gueorguiev	 Hacker	Dojo,	Santa	Clara	-	Nov.	8th,	2019	 19
Estimated	running	times		
Vesselin	G.	Gueorguiev	 Hacker	Dojo,	Santa	Clara	-	Nov.	8th,	2019	 20
Thank	You!	
	
Q&A		
	
Open	Discussion	
Vesselin	G.	Gueorguiev	 Hacker	Dojo,	Santa	Clara	-	Nov.	8th,	2019	 21
Vesselin	G.	Gueorguiev	 Hacker	Dojo,	Santa	Clara	-	Nov.	8th,	2019	 22	
Nature	|	Vol574	|	24OCTOBER2019	
Pauli	and	Measurement	Errors	
“Having	found	the	error	rates	of	the	individual	gates	and	readout,	we	can	model	the	fidelity	of	a	
quantum	circuit	as	the	product	of	the	probabilities	of	error-free	operation	of	all	gates	and	
measurements.	Our	largest	random	quantum	circuits	have	53	qubits,	1,113	single-qubit	gates,	430	
two-qubit	gates,	and	a	measurement	on	each	qubit,	for	which	we	predict	a	total	fidelity	of	0.2%.”
Vesselin	G.	Gueorguiev	 Hacker	Dojo,	Santa	Clara	-	Nov.	8th,	2019	 23

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Google's q supremacy claim and the ibm rebuttal of it