Modern high-power lasers can generate extreme states of matter that are rel
evant to astrophysics(1), equation-of-state studies(2) and fusion energy re
search(3,4). Laser-driven implosions of spherical polymer shells have, for
example, achieved an increase in density of 1,000 times relative to the sol
id state(5). These densities are large enough to enable controlled fusion,
but to achieve energy gain a small volume of compressed fuel (known as the
'spark') must be heated to temperatures of about 10(8) K (corresponding to
thermal energies in excess of 10 keV). In the conventional approach to cont
rolled fusion, the spark is both produced and heated by accurately timed sh
ock waves(4), but this process requires both precise implosion symmetry and
a very large drive energy. In principle, these requirements can be signifi
cantly relaxed by performing the compression and fast heating separately(6-
10); however, this 'fast ignitor' approach(7) also suffers drawbacks, such
as propagation losses and deflection of the ultra-intense laser pulse by th
e plasma surrounding the compressed fuel. Here we employ a new compression
geometry that eliminates these problems; we combine production of compresse
d matter in a laser-driven implosion with picosecond-fast heating by a lase
r pulse timed to coincide with the peak compression. Our approach therefore
permits efficient compression and heating to be carried out simultaneously
, providing a route to efficient fusion energy production.