Title: Viola blanda
Content:  The sweet white violet grows from 6 to 12 inches high. They grow small white flowers in spring and early summer. The lower petals have purple veins. The upper petals are often twisted or bent backwards. The stalks are a reddish tinged. They grow 1-2 inch long heart shaped leaves with a few scattered hairs. The white violet has demonstrated a weak ability to respond to climate change by shifting its flowering time in some areas of its range.
Title: Verbena urticifolia
Content:  White vervain has opposite, simple leaves on thin, rigid, green stems. The leaves look similar to those of Urtica, which is the reason for the plant being named urticifolia. The small flowers are borne in spikes; they open in summer and unusually for this normally bluish-flowered genus are white. The fruit is a dark- colored capsule with many brown and thin seeds. The entire plant except for the flowers and fruit is covered in stiff bristles.
Title: Vinca minor
Content: 'Argenteovariegata' (leaves have creamy white margins) ; 'Atropurpurea' (burgundy-purple flowers) ; 'Azurea Flore Pleno' (double blue flowers) ; 'Bowles’s Variety’ (violet-blue flowers: also known as ‘Bowles’s Blue’ and ‘La Grave’) ; 'Ralph Shugert' There are numerous cultivars, with different flower colours and variegated foliage. Many have a less vigorous habit than the species, and are therefore more suitable for smaller gardens. The following cultivars have gained the Royal Horticultural Society's Award of Garden Merit:-
Title: Vinca minor
Content:  Vinca minor is a trailing subshrub, spreading along the ground and rooting along the stems to form large clonal colonies and occasionally scrambling up to 40 cm high but never twining or climbing. The leaves are evergreen, opposite, 2 - 4.5 cm long and 1 - 2.5 cm broad, glossy dark green with a leathery texture and an entire margin. The flowers are solitary in the leaf axils and are produced mainly from early spring to mid summer but with a few flowers still produced into the autumn; they are violet-purple (pale purple or white in some cultivated selections), 2 – diameter, with a five-lobed corolla. The fruit is a pair of follicles 2.5 cm long, containing numerous seeds. The closely related species Vinca major is similar, but larger in all parts, and also has relatively broader leaves with a hairy margin.
Title: Veronica persica
Content:  Veronica persica is an annual or winter annual herb that reproduces from seed. Its cotyledons are triangular with truncated bases. The short-stalked leaves are broadly ovate with coarsely serrated margins, and measure 1 to 2 cm long. The leaves are paired on the lower stem and are alternately arranged on the upper parts. The plant has weak stems that form a dense, prostrate groundcover. The tips of stems often grow upright. The flowers are roughly 1 cm wide and are sky-blue with dark stripes and white centers. They are zygomorphic, having only one vertical plane of symmetry. They are solitary on long, slender, hairy stalks in the leaf axils. The seeds are transversely rugose and measure between 1 and 2 mm long. There are five to 10 seeds per locule in the fruit. Veronica persica can be distinguished from similar species by its heart-shaped fruit with two widely-separated lobes.
Title: Veronicastrum virginicum
Content:  The stems are hairless and usually unbranched. The leaves are serrated and arranged in whorls of 3-7 around the stem. The inflorescence is erect with slender and spike-like racemes to about 9 in long, giving the flower cluster a candelabra-like appearance. The stamens are crowded and protrude in a brush-like fashion perpendicular to the raceme. The corollas are white and are roughly 2mm in length. These plants flower for about a month from mid-June to late August, depending on the latitude.
Title: Vinca herbacea
Content:  Vinca herbacea is a herbaceous perennial growing as a trailing vine, spreading along the ground and rooting along the stems to form clonal colonies, growing up to 10 - 20 cm high. The leaves are opposite, lanceolate, 1 - 5 cm long and 0.2 - 3 cm broad, glossy green with an entire margin, and nearly sessile with only a very short petiole. The flowers are produced in late summer, blue-violet or occasionally white, 2.5 - 3.5 cm diameter, with a five-lobed corolla.
Title: Hexastylis virginica
Content:  Hexastylis virginica, commonly known as Virginia heartleaf, is a prostrate perennial plant in the Aristolochiaceae (birthwort family). It is found in the mideastern United States from Maryland and Virginia in the north, south to North Carolina and Tennessee. The plant is encountered in deciduous and mixed forests. Its flowers emerge in early spring from April through June.
Title: Vicia sylvatica
Content:  This species is perennial with climbing stems. The leaves have 4 to 12 pairs of leaflets and end in branched tendrils. The flowers are 15 to 20 mm long arranged in racemes of up to 18 flowers. The petals are white with purple veins and the fruit is a pod or legume with 4 to 5 seeds.
Title: Veronica arvensis
Content:  It is a hairy, erect to almost recumbent, annual herb, 9 to 40 cm high from a taproot. The leaves are oppositely arranged in pairs about the stem. The lower leaves have short petioles; the upper are sessile. Each leaf, 1.5 to 2.5 cm in length, is ovate, or triangular with a truncated or slightly cordate base, with coarse teeth. Borne in a raceme, initially compact but elongating with age, the flowers are pale blue to blue-violet, 2 to 3 mm in diameter, four-lobed with a narrow lowest lobe. Flower stalks are 0.5 to 2 mm and shorter than the bracts. The fruit capsules are heart-shaped and shorter than the sepal-teeth. It flowers from April to October.

Question: vine with heart shaped leaves and white flowers?
Answer: Antigonon leptopus.